An algebra problem by Prithwish Roy

Algebra Level pending

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

2 3 1 4

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