Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.7 AIME Find the answer

10. Let $x$ and $y$ be positive integers such that
$\sqrt{x-116}+\sqrt{x+100}=y \text {. }$

Then the maximum value of $y$ is $\qquad$

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

$10.108$

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