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-

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

Solution:
Let, Muna’s present age be = 6x years
and Riya’s present age be = 5x years.

After 15 years, Muna’s age be = (6x + 15) years
After 15 years, Riya’s age be = (5x + 15) years

ATQ,
(6x + 15)/(5x + 15) = 9/8
⇒ 48x + 120 = 45x + 135
⇒ 48x - 45x = 135 - 120
⇒ 3x = 15
⇒ x = 5

∴ Muna’s present age = 6x
= 6 × 5) = 30 years