数学题，求解（急）

Question

ABCDEF × 6 = DEFABC

求 ABCDEF

注：ABCDEF 分别是不同的数字

Answer 1

这里有这样的题目了：

Digit Switch – 6-digit Num3er ABCDEF * 6 = DEFABC | Fun With Num3ers

Let   ABC = x   and   DEF = y

We can then write: ABCDEF = 1000*x + y

So,   6 * ABCDEF = 6*(1000*x + y)

And,   6 * ABCDEF = DEFABC   and   DEFABC = 1000*y + x

So,   6*(1000*x + y) = 1000*y + x

So,   5999*x – 994*y = 0    or    y = 857*x / 142

The solution:   x = 142   and   y = 857   and the number is   142857

142857 × 6   =   857142