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(5m+ n) / (5n +m) => m / n

Source: Dutch BxMO/EGMO TST 2015 p1

August 24, 2019
number theorydivisordivides

Problem Statement

Let mm and nn be positive integers such that 5m+n5m+ n is a divisor of 5n+m5n +m. Prove that mm is a divisor of nn.
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