The sum of ages of a father a mother a son Sonu and daughters Savita and Sonia is 96 years Sonu is t...........

Quantitative Aptitude (CDS) Problems based on Ages

The sum of ages of a father, a mother, a son Sonu and daughters Savita and Sonia is 96 years. Sonu is the youngest member of the family. The year Sonu was born, the sum of the ages of all the members of the family was 66 years. If the father’s age now is 6 times that of Sonu’s present age, then 12 years hence, the father’s age will be

44 years

45 years

46 years

48 years

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Explanation:

We shall use F for father, M for mother, A for Sonu, B for Savita & C for Sonia (for present ages)
F + M + A + B + C = 96
When Sonu was born:
(F - A) + (M - A) + (A - A) + (B - A) + (C - A) = 66
F + M + A + B + C - 5A = 66
96 - 5A = 66
5A = 96 - 66 = 30
A = 30/5 = 6
Also, F = 6A = 6 x 6 = 36 years
After 12 years
Father’s age = F + 12 = 36 + 12 = 48 years