# An algebra problem by Asher Joy

Algebra Level 2

Let $$a,b,c$$ be positive real numbers, such that $$a^2 + b^2 + c^2 = 989$$, and $$(a+b)^2 + (a+c)^2 + (b+c)^2 = 2013$$. Find $$a+b+c$$

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