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2022 Polish Junior Math Olympiad Second Round P2

Source: 2022 Polish Junior Math Olympiad Second Round

May 21, 2023
Chinese Remainder Theoremmatchings

Problem Statement

Let n≥1n\geq 1 be an integer and let aa and bb be its positive divisors satisfying a+b+ab=na+b+ab=n. Prove that a=ba=b.
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