Question

The present age of Vatsla and Sara are 14 yrs and 10 yrs respectively. After how many yrs will the ratio of their ages become 5:4?

Answer 1

Present age of Vatsala = 14 years Present age of Sara = 10 years After x years, Vatsala’s age = (14 + x) years Sara’s age = (10 + x) years According to the given condition, After x years the ratio of their ages will become 5 : 4 ∴ (14 + x)/(10 + x) = 5 : 4 ∴ 4(14 + x) = 5(10 + x) ∴ 56 + 4x = 50 + 5x ∴ 56 – 50 = 5x – 4x ∴ 6 = x ∴ x = 6 ∴ After 6 years, the ratio of their ages will become 5 : 4