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Source: The South African Mathematical Olympiad Third Round 2023 P1

July 30, 2023
algebra

Problem Statement

If xx and yy are positive real numbers such that (2x)+(y)=13\sqrt(2x)+\sqrt(y)=13 and (8x)+(9y)=35\sqrt(8x)+\sqrt(9y)=35, calculate 20x+23y20x+23y.
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