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Nepal National Olympiad

Source: Nepal Mathematics Olympiad

April 22, 2018
algebranumber theory

Problem Statement

Problem Section #1 a) A set contains four numbers. The six pairwise sums of distinct elements of the set, in no particular order, are 189,320,287,264,x189, 320, 287, 264, x, and y. Find the greatest possible value of: x+yx + y.
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