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Regional Olympiad - FBH 2012 Grade 12 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2012

September 25, 2018
number theoryDivisibility

Problem Statement

Let aa, bb, cc and dd be integers such that acac, bdbd and bc+adbc+ad are divisible with positive integer mm. Show that numbers bcbc and adad are divisible with mm
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