Correct Answer - Option 3 : 40 yrs
Given :
Age of Father and his daughter is in a ratio = 29 : 14
Product of their ages in years = 1624
Calculation:
Let the age of Father be 29X.
Let the age of daughter be 14X.
According to the Q.,
⇒ 29X × 14X = 1624
⇒ 406 X2= 1624
⇒ X2 = 1624/406
⇒ X2 = 4
⇒ X = 2
⇒ Daughter’s age after 12 years = (14x + 12) = (14 × 2 + 12) = 40
∴ The age of daughter after 12 years is 40 yRs.