# Is The Information Enough?

Algebra Level 5

Let $$a$$ and $$b$$ be the roots of the equation $$x^2 - 10cx - 11d = 0$$.
Also, $$c$$ and $$d$$ are the roots of the equation $$x^2 - 10ax - 11b = 0$$.

Assuming $$a, b, c$$ and $$d$$ are distinct and non-zero, find the value of $$a + b + c+ d$$.

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