MathDB

1

Part of 2015 Dutch BxMO/EGMO TST

Problems(1)

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

Source: Dutch BxMO/EGMO TST 2015 p1

8/24/2019
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.
number theorydivisordivides