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

 12 years ago, 

Let age of Badri was X years and age of Budh was 2X.

So, present age of Badri = X + 12

And, present age of Budh = 2X + 12

As per question:

\(\frac{\text {2x+12}}{\text{x+12} }\) = \(\frac{ 4}{3 }\)
6X + 36 = 4X + 48
2X = 12
X = 6
Present age of Badri = 6 + 12 = 18 years
Present age of Budh = 2*6 +12= 24 years
Required difference between their ages = 24 - 18 = 6 years