Present ages of Vatsala and Sara are 14 years and 10 years respectivel

1.	Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?
Answer» 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.

Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?

Answer»

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.