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Two positive integers a and b have only one common divisor, if b/a+2=18/7, then
Two positive integers a and b have only one common divisor, if b/a+2=18/7, then
游客
2025-02-23
30
管理
问题
Two positive integers a and b have only one common divisor, if b/a+2=18/7, then which of the following could be the value of (a-b)?
选项
A、5
B、3
C、4
D、7
E、6
答案
B
解析
两个正整数a,b只有一个公因子,那么这两个数的公因子必然为1,也就是说这两个数互质,b/a=18/7-2=4/7,所以b=4,a=7,那么a-b=3。
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