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MathNet 2015-part-03 — 191 problems (EN–VI) Question 35

Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)

Question 35

Determine all possible pairs of positive integers $x$, $y$ satisfying the equation: $xy(x+y-10)-3x^2-2y^2+21x+16y=60$.