Twelve years ago, Budh was twice as old as Badri. If the ratio of their present ages is 4:3 respectively, find the difference between their present ages.
Answer & explanation
Correct answer: option 3
Let the present ages of Budh and Badri be $4x$ and $3x$, respectively.
Given:
- Present age ratio = 4 : 3
- Twelve years ago, Budh was twice Badri's age.
So,
$4x - 12 = 2(3x - 12)$
$4x - 12 = 6x - 24$
$12 = 2x$
$x = 6$
Present ages:
- Budh = $4x = 24\text{ years}$
- Badri = $3x = 18\text{ years}$
Difference in their present ages:
$24 - 18 = 6\text{ years}$