Correct Answer - Option 3 : 46
Given:
Present age of daughter is 7 years more than the half of the present age of son
Four years ago the ratio of ages of father to son = 21 ∶ 10
The age of daughter is four years less than the half of the father’s age
Calculations:
Let the present ages of father, son, and daughter are F, S and D respectively.
According to the question,
Present age of daughter is 7 years more than half the present age of son
⇒ D = 7 + S/2 ----(1)
Four years ago the ratio of ages of father to son = 21 ∶ 10
⇒ (F – 4)/(S – 4) = 21/10 ----(2)
Age of daughter is four years less than the half of the fathers age
⇒ D = (F/2) – 4 ----(3)
On solving equations (1), (2), and (3)
⇒ F = 46 years
∴ The present age of the father is 46 years