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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