xisapositiveintegerlessthan100.Whenxisdividedby5,theremainderis4,andwhenxisdividedby23,theremainderis7.Whatisthevalueofx?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

Question

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

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.