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IMSO 2013 — Mathematics — Short Answer Question 23

IMSO Maths · IMSO 2013 — Mathematics — Short Answer

Question 23

Let $\square$ and $\triangle$ be two distinct positive integers such that $\square-\triangle=2013$ and $\frac{\square}{\triangle}=\frac{\square-\triangle-669}{\square-\triangle-2011}$. What is the value of $\square$?