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2018 Nepal National Olympiad
1a
1a
Part of
2018 Nepal National Olympiad
Problems
(1)
Nepal National Olympiad
Source: Nepal Mathematics Olympiad
4/22/2018
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
,
x
189, 320, 287, 264, x
189
,
320
,
287
,
264
,
x
, and y. Find the greatest possible value of:
x
+
y
x + y
x
+
y
.NOTE: There is a high chance that this problems was copied.
algebra
number theory