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IMSO 2017 — Mathematics — Short Answer Question 19

IMSO Maths · IMSO 2017 — Mathematics — Short Answer

Question 19

$A$, $B$ and $C$ are positive integers. The sum of 160 and the square of $A$ is equal to the sum of 5 and the square of $B$. The sum of 320 and the square of $A$ is equal to the sum of 5 and the square of $C$. Find the positive integer $A$.