olymmath

HMMT November 2023 U15

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Lucas writes two distinct positive integers on a whiteboard. He decreases the smaller number by 20 and increases the larger number by 23 , only to discover the product of the two original numbers is equal to the product of the two altered numbers. Compute the minimum possible sum of the original two numbers on the board.

Dataset text NuminaMath olympiads. Quoted with source.

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321

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