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Omni-MATH / If x and y are positive integers with x+y=31, what is the largest possible value of xy?

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problem

If xx and yy are positive integers with x+y=31x+y=31, what is the largest possible value of xyx y?
Plain-text mathematical notation (without MathML)
If x and y are positive integers with x+y=31, what is the largest possible value of xy?
Original LaTeX notation
If $x$ and $y$ are positive integers with $x+y=31$, what is the largest possible value of $x y$?

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