Twelve years ago, Budh was twice as old as Badri. If the ratio of their present ages is 4 : 3, find the difference between their present ages.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 6 years
Write the present ages from the ratio, go back 12 years and use the "twice as old" condition.
Let Budh \(=4x\) and Badri \(=3x\)
Twelve years ago: \(4x-12=2(3x-12)\)
\(4x-12=6x-24\), so \(2x=12\) and \(x=6\)
Budh \(=24\) years, Badri \(=18\) years
Difference \(=24-18=6\) years