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Honduran National MO (OHM) Intermediate Problem 3

Source: 2021 OHM Intermediate P3

November 21, 2021
algebranumber theory

Problem Statement

Let aa and bb be positive integers satisfying aa−2=b+2021b+2008 \frac a{a-2} = \frac{b+2021}{b+2008} Find the maximum value ab\dfrac ab can attain.
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