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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