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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