A father said to his child, "I was as old as you are at the time of your birth". If the father's age is 48 years now, the child's age six years back was:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 18 years
“I was as old as you are at the time of your birth” means the father’s age when the child was born equals the child’s present age. Let the child’s present age be \(x\) years.
The father is older than the child by his age at the child’s birth, \(x\) years, so his present age is \(x+x=2x\)
\(2x=48\), so \(x=24\)
Child’s age six years back \(=24-6=18\) years