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OMK 2010

Source: Malaysia National Olympiad 2010 Bongsu Category Problem 6

June 4, 2011
algebra unsolvedalgebra

Problem Statement

Find the number of different pairs of positive integers (a,b)(a,b) for which a+b≤100a+b\le100 and a+1b1a+b=10\dfrac{a+\frac{1}{b}}{\frac{1}{a}+b}=10
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