Correct Answer - Option 1 : 24
Given:
The difference between the present ages of father and son = 25
The ratio of age of father 9 years ago to the age of son eight years ago = 5 ∶ 2
Calculations:
Let the present age of father and son be F and S respectively.
According to question,
⇒ F – S = 25 ----(1)
The ratio of age of father 9 years ago to the age of son eight years ago = 5 ∶ 2
⇒ (F – 9)/(S – 8) = 5/2
⇒ -2F + 5S = 22 ----(2)
Multiply equation (1) with 5
⇒ 5(F – S) = 25 × 5
⇒ 5F – 5S = 125 ----(3)
Add equation (2) and (3)
⇒ -2F + 5S + 5F – 5S = 22 + 125
⇒ 3F = 147
⇒ F = 49
Put the value of F in equation (1)
⇒ 49 – S = 25
⇒ S = 24 years
∴ Present age of son is 24 years
