# Real Root Sum

Algebra Level 5

Let $$a$$ and $$b$$ be the real roots of $$y={a}^{3} - 15{a}^{2} +20a-50$$ and $$y=8{b}^{3}-60{b}^{2}-290b+2575$$ respectively. What is the value of $$a+b?$$

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