MathDB
Six Sums in Search of a Solver

Source: 2017 AIME II #5

March 23, 2017
AMCAIMEAIME II

Problem Statement

A set contains four numbers. The six pairwise sums of distinct elements of the set, in no particular order, are 189189, 320320, 287287, 234234, xx, and yy. Find the greatest possible value of x+yx+y.