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find positive integers (x,y) so that (2x + 7y) divides (7x + 2y)

Source: CRMO 2014 region 2 p3

September 29, 2018
number theoryDivisibilitypositive integers

Problem Statement

Find all pairs of (x,y)(x, y) of positive integers such that 2x+7y2x + 7y divides 7x+2y7x + 2y.