Three years ago, Rahul was three times as old as Sahil. Six years from now, Rahul will be twice as old as Sahil. What are the present ages of Rahul and Sahil?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 30 years, 12 years
Take Sahil's present age as \(s\) and write Rahul's age from the first condition; the second condition then fixes \(s\).
Three years ago: Rahul \(-3=3(s-3)\), so Rahul \(=3s-6\)
Six years hence: \((3s-6)+6=2(s+6)\)
\(3s=2s+12\), so \(s=12\)
Rahul \(=3\times12-6=30\) years
Rahul is 30 years and Sahil 12 years old.