The ages of Saha and Akash are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages?

Question: The ages of Saha and Akash are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages?

Solution:
The ages of Saha and Akash are 9x and 8x
After 5 years, the ratio of their ages will be (9x + 5) and (8x + 5)

(9x + 5) /(8x + 5) = 10/9
⇒ 81x + 45 = 80x + 50
⇒ x = 5

∴ the difference in their ages is = 9x - 8x
= x
= 5 years