Six years ago, the ratio of the ages of Kamal and Shihan was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Shihan's age at present?

Question: Six years ago, the ratio of the ages of Kamal and Shihan was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Shihan's age at present?

Solution:
Six years ago, the ratio of the ages of Kamal and Shihan was 6 : 5
Six years ago, the age of kamal was 6x and age of Shihan was 5x

At present, the age of kamal is 6x + 6 and age of Shihan is 5x + 6
Four years hence, the age of kamalwill bw 6x + 10 and age of Shihan will be 5x + 10

(6x + 10)/(5x + 10) = 11/10
⇒ 60x + 100 = 55x + 110
⇒ 5x = 10
∴ x = 2
Shihan's age at present is = 5x + 6
= 10 + 6
= 16 years