# Looks tough

Algebra Level 5

If the roots of the equation $$x^2-10ax-11b=0$$ are $$c$$ and $$d$$ and those of $$x^2-10cx-11d=0$$ are $$a$$ and $$b$$, then find the value of $$a+b+c+d$$ where $$a,b,c,d$$ are all distinct numbers.

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