2023 WSMO Team Round Problems/Problem 2: Difference between revisions
Created page with "==Problem== Integers <math>W,S,M,</math> and <math>O</math> satisfy <math>W+S+M+O = 13.</math> Find the maximum possible value of <math>WSMO.</math> ==Solution==" |
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==Solution== | ==Solution== | ||
From the AM-GM inequality, we want <math>W,S,M,O</math> as close to each other as possible. So, let <math>W=S=M=3,O=4\implies WSMO = \boxed{108}.</math> | |||
~pinkpig | |||
Latest revision as of 12:50, 13 September 2025
Problem
Integers 
and 
satisfy 
Find the maximum possible value of 
Solution
From the AM-GM inequality, we want 
as close to each other as possible. So, let 
~pinkpig
