Question

When x is divided by 5, the remainder is 4, and when x is divided by 23, the remainder is 7.

x is a positive integer less than 100. When x is divided by 5, the remainder is 4, and when x is divided by 23, the remainder is 7. What is the value of x?

请问这类题要怎么做啊=。=
可以讲一下详细过程么？
难道只能一个一个的列出来然后试么？

Answer 1

当然不是啊，
首先，除以5余4，说明这个数个位是4或9；
接着，除以23余7，能整除23且小于100的数，只有四个，分别是23,46,69,92,；然后个位数加上7，所得的个位数恰好是4或9；
最后答案是99。

Answer 2

x=99

因为X小于100，又是23的倍数加7，所以也就只有30、53、76、99共四个正数，除5余4的，只有99。