At present, the ratio of the age of Maya and Chhaya is 6 : 5 and fifteen years from now, the ratio will get changed to 9 : 8. Maya’s present age is:

(1) 21 years (2) 24 years (3) 30years (4) 40 years

Solution:

Let Maya’s present age be 6x years and Chhaya’s present age be 5x years.

After 15 years,

6x+15/5x+15 = 9/8

⇒ 48x + 120 = 45x + 135

⇒ 48x – 45x = 135 – 120

⇒ 3x= 15 

⇒ x=5

:. Maya’s present age = 6x

= 6*5 = 30 years

Then the option is (3)