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3.

Part of 2017 Polish Junior Math Olympiad Second Round

Problems(1)

2017 Polish Junior Math Olympiad Second Round P3

Source: 2017 Polish Junior Math Olympiad Second Round

5/22/2023
Let aa, bb, and dd be positive integers. It is known that a+ba+b is divisible by dd and aā‹…ba\cdot b is divisible by d2d^2. Prove that both aa and bb are divisible by dd.
number theory