52 Mathematical Olympiad
Algebra Problemshortlist 52ndIMO2011 Algebra A1 A1 For any set A = {a 1,a 2,a 3,a 4} of four distinct positive integers with sum sA = a 1+a 2+a 3+a 4, let pA denote the number of pairs (i,j) with 1 ≤ i < j ≤ 4 for which ai +aj divides sA.Among all sets of four distinct positive integers, determine those sets A for which pA is maximal. A2
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Shortlisted Problems with Solutions
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