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\frac{a+b}{c}+\frac{b+c}{a}+\frac{c+a}{b}

Source: Junior Olympiad of Malaysia Shortlist 2015 N5

July 17, 2015

number theory

Problem Statement

Let

a,b,c

be pairwise coprime positive integers. Find all positive integer values of

\frac{a+b}{c}+\frac{b+c}{a}+\frac{c+a}{b}