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2023 WSMO Team Round Problems/Problem 2

Revision as of 13:50, 13 September 2025 by Pinkpig (talk | contribs)
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Problem

Integers $W,S,M,$ and $O$ satisfy $W+S+M+O = 13.$ Find the maximum possible value of $WSMO.$

Solution

From the AM-GM inequality, we want $W,S,M,O$ as close to each other as possible. So, let $W=S=M=3,O=4\implies WSMO = \boxed{108}.$

~pinkpig

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