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Kalam has three daughters; Shaila , Meena and Tina. Three years ago, when Kalam was twice as old as Tina , he was 30 years older than sMeena Now he is 47 years older than Shaila In 4 years. Shaila will be half as old as Tina What is the sum of the current ages of Kalam and his three daughters ?

Kalam has three daughters; Shaila , Meena and Tina. Three years ago, when Kalam was twice as old as Tina , he was 30 years older than sMeena Now he is 47 years older than Shaila In 4 years. Shaila will be half as old as Tina What is the sum of the current ages of Kalam and his three daughters ? Correct Answer 138

Let, Kalam = k; Shaila = S, Meena = M; Tina = TCoditionally, k - 3 = 2(T - 3) - - - - - - - - (i)                         k = M + 30 - - - - - - - - - (ii)                        k = S + 47 - - - - - - - - - - - - (iii)       2(S + 4) = T + 4or, 2S + 4 = TFrom (i) We get k - 3 = 2(2S + 4 - 3)or, k = 4S + 5From (iii)We get 4S + 5 = S + 47 = > 3S = 42S = 14k = 14 + 47 = 61M = 61 - 30 = 31T = 2x14 + 4 = 32 Total = 14 + 31 + 32 + 61 = 138 (Ans.)

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