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

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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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Twopositiveintegersaandbhaveonlyonecommondivisor,ifb/a+2=18/7,then