数学问题，这道题我列出了方程，但结果怎么算都是错的，望各位高人指点一下。

Question

题目：有一个三位数，个位数字为百位数字的2倍，十位数字比百位数字大1，若将此数个位与百位顺序对调（个位变百位）所得的新数比原数的2倍少49，求原数。（注：用一元一次方程解）
解：设百位数字为100X，十位为10（X+1）,个位为2X
2【100X+10(X+1)+2X】-49=200X+10(X+1)+X
这个方程我老是觉得怪怪的，希望好心人能帮我解答！谢谢！！！！

Answer 1

..............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................追问

你在作甚？

追答

9999字有这么多

追问

无语你了

追答

.....

Answer 2

方程是对的，不过这样设应该会好些：设：百位数字为x，则十位数字为x+1,个位数字为2x.
那么原来的三位数表示为：100x+10(x+1)+2x
换位后得到的新三位数为：100*2x+10(x+1)+x
根据题意可列等式为：100*2x+10(x+1)+x=2*[100x+10(x+1)+2x]-49
解得：x=3
所以原来的三位数346追问

谢谢啊！因为大家都很热心地帮助我，所以这次就不选满意答案了。

Answer 3

设百位数字为X，十位为X+1,个位为2X
方程是对的，解出来X=3 原数是346追问

谢谢啊！因为大家都很热心地帮助我，所以这次就不选满意答案了。

追答

恩，比如说346，百位数字为3，就是X，十位为4，就是X+1，个位为6，就是2X，要表示数字的时候，百位数字乘100，就是100X，十位乘10，就是10(X+1),个位就是2X
那这个数就表示为100X+10(X+1)+2X

追问

感激不敬，多亏了大家的帮助，我理解了

Answer 4

百位数设为X，十位X+1，个位2X
原数字 100X+10(X+1)+2X
对调后100*2X+10（X+1)+X
方程2*原数字-49=对调后数字追问

依此类推，个位设为2X，十位设为（X+1）
然后列的方程为 2【X+(X+1)+2X】-49=X+(X+1)+X？

追答

回答内容我刚改了，你看下，方程貌似是对的

追问

谢谢啊！因为大家都很热心地帮助我，所以这次就不选满意答案了。