# An algebra problem by Prithwish Roy

Algebra Level pending

$$x^{2}-10ax-11b=0$$ have roots '$$c$$' and '$$d$$'. $$x^{2}-10cx-11d=0$$ have roots '$$a$$' and '$$b$$'. If $$a+b+c+d=K$$. Then find the sum of the digits of $$K$$

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