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MathNet 2019-part-02 — 184 problems (EN–VI) Question 141

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 141

Let $m$ and $n$ be positive integers of different parity. Prove that
$$
\frac{3m^2 + 5mn}{3n^2 + mn}
$$
is not a positive integer.
(Ilko Brnetić)