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CNCM Online R1P4

Source:

September 2, 2020

Problem Statement

Consider all possible pairs of positive integers (a,b)(a,b) such that a≥ba \geq b and both a2+ba−1\dfrac{a^2 + b}{a - 1} and b2+ab−1\dfrac{b^2 + a}{b - 1} are integers. Find the sum of all possible values of the product abab.
Proposed by Akshar Yeccherla (TopNotchMath)
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