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A father is three time old as old as his son. After fifteen years the will be twice as old as his sons age at that time. Hence the fathers present age-

A father is three time old as old as his son. After fifteen years the will be twice as old as his sons age at that time. Hence the fathers present age- Correct Answer 45

Let the ages of the father and his son be F and S respectively. Now,   F = 3S   or,  S = F/3 After 15 years,   F + 15 = 2(S + 15) or,    F + 15 = 2S + 30 or,    F - 2S = 30 - 15 or,    F - 2(F/3) = 15 or,    (3F - 2F)/3 = 15 or,     F = 15 x 3 =  45

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