The sum of the present ages of a father and his son is 60 years. Six years ago, the father’s age was five times the age of the son. What will be the son’s age after 6 years?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 20 years
Six years ago each of them was 6 years younger, so the old relation is written with both present ages reduced by 6.
Let the son’s present age be \(x\) years; the father’s is \(60-x\)
Six years ago: \(60-x-6=5(x-6)\)
\(54-x=5x-30\), so \(6x=84\) and \(x=14\)
Son’s age after 6 years \(=14+6=20\) years