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IMAS 2020–2021 Junior Round 2 Question 9

IMAS · IMAS 2020–2021 Junior Round 2

Question 9

Let $a,b,c$ be positive integers such that $a>b>c$. It is known that $b$ is a single digit number, $c$ is a single digit prime number and $a^2+b^2+c^2=2021$. What is the value of $a+b+c$?