Present ages of Sameer and Ananda are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Ananda's present age in years?

Question: Present ages of Sameer and Ananda are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Ananda's present age in years?

Solution:
Let the present ages of Sameer and Ananda be 5x years and 4x years respectively.

Then,


⇒ 9(5x + 3) = 11(4x + 3)
⇒ 45x + 27 = 44x + 33
⇒ 45x - 44x = 33 - 27
⇒ x = 6
Anand's present age = 4x = 24 years