The ages of A and B are in the ratio 6 : 5 and the sum of their ages is 44 years. What will be the ratio of their ages after 8 years ?

Question: The ages of Akash and Belal are in the ratio 6 : 5 and the sum of their ages is 44 years. What will be the ratio of their ages after 8 years ?

Solution:
The ages of Akash and Belal are in the ratio 6 : 5
let, akash is 6x years old and belal is 5x years old
5x + 6x = 44
⇒ 11x = 44
∴ x = 4 years old

So, Akash is 24 years old and belal is 20 years old

After 8 years, Akash is (24 + 8) = 32 years old and belal is (20 + 8) years old
∴ their ratio = 32 : 28
= 8 : 7