Problem Solving

试题详情

题目:

When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4.  If x > y, which of the following must be a factor of x - y?

选项:

A、12
B、15
C、20
D、28
E、35

答案:

E

提问:

没思路
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提问:

这道题我是分别列出了除以5余3 和 除以7余4 的数,然后找到了53和18,相减等于35,所以选了E 除了这种全部列出的方法以外,有什么比较巧的方法么?
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