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.

6 yr

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:

$24 - 18 = 6\text{ years}$