Ram's present age is one-third of the age of his father. Five years ago, his age was one-fifth of the age of his father. What are the present ages of Ram and his father?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 10 years and 30 years
Five years ago both were 5 years younger, so 5 is taken from each present age before the second ratio is applied.
Let Ram’s present age be x; his father’s is 3x
Five years ago: \(x-5=\frac{1}{5}(3x-5)\)
\(5x-25=3x-5\), so \(2x=20\) and \(x=10\)
Ram is 10 years old and his father \(3\times10=30\) years