AMC / AIME · AM-GM Inequality · Medium

AM-GM Inequality: For positive math with math, find the maximum of math.

Means inequality.

Try the problem

For positive x,yx,y with x+y=20x+y=20, find the maximum of xyxy.

Hint and answer

Concept to use

Equality cases.

Hint

For AM-GM, equality gives the extremum when terms are equal.

Answer

100

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