CSMC 2020 Part A - Question 3, CEMC UWaterloo
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Difficulty: 5
This problem is tagged with csmc, csmc20, highschool.
(Canadian Senior Mathematics Contest 2020, Part A, Question 3, CEMC - UWaterloo)
Suppose that $a$, $b$, $c$, $d$ and $e$ are consecutive positive integers with $a \lt b \lt c \lt d \lt e$. If $a^2+b^2+c^2=d^2+e^2$, what is the value of $a$?
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