The age of a father is thrice the age of his daughter. Ten years ago, his age was five times his daughter's age. Find the present age of the father.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 60 years
Both ages fall by the same 10 years when we go back in time, so one unknown, the daughter’s present age \(d\), is enough. The father is now \(3d\).
Ten years ago: father \(3d-10\), daughter \(d-10\)
Father then was five times the daughter: \(3d-10=5(d-10)\)
\(3d-10=5d-50\)
\(2d=40\), so \(d=20\)
Father’s present age \(=3\times20=60\) years