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11a+2b is a multiple of 19 iff so is 18a+5b .

Source: Mexican Mathematical Olympiad 1988 OMM P2

July 27, 2018
number theorydivisor

Problem Statement

If aa and bb are positive integers, prove that 11a+2b11a+2b is a multiple of 1919 if and only if so is 18a+5b18a+5b .
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