Two positive integers a and b have only one common divisor, if b/a+2=18/7, then

游客2024-01-13  19

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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