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IMAS 2013 Junior Division First Round Question 24

IMAS · IMAS 2013 Junior Division First Round

Question 24

The non-zero real numbers $x$ and $y$ satisfy $(\sqrt{x^2+2013}-x)(\sqrt{y^2+2013}-y)=2013$. What is the value of the expression $\frac{2013x+y}{5x+y}$?