Six years from now the combined age of father and son will be 54. If, currently , son is 5 times younger than his father then what is the present age of the father ?

Six years from now the combined age of father and son will be 54. If, currently , son is 5 times younger than his father then what is the present age of the father ? Correct Answer 35

Let the present age of son and his father be S and 5S respectively. Six years from now, their ages will be (S + 6) and (5S + 6) respectively. So,  S + 6  + 5S + 6 = 54 or,  6S + 12 = 54 or,  6S = 54 - 12 or,  6S = 42 or,  S = 42/6 = 7 So, present age of the father = 5 × 7 = 35 years
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