The ratio of Amu, Manu and Tanu’s present age is 7 ∶ 2 ∶ 3. Manu is 24 years old. What is the ratio of Amu and Tanu’s age to Manu’s age after 2 years?

The ratio of Amu, Manu and Tanu’s present age is 7 ∶ 2 ∶ 3. Manu is 24 years old. What is the ratio of Amu and Tanu’s age to Manu’s age after 2 years? Correct Answer 62 ∶ 13

Given:

The ratio of Amu, Manu and Tanu’s present age = 7 ∶ 2 ∶ 3

Manu's present age = 24 years 

Calculation:

Let assume that Amu’s present age = 7x

Manu’s present age = 2x

Tanu’s present age = 3x

According to question

Manu’s present age = 24 years

Now,

⇒ 24 years = 2x

⇒ 12 years = x

⇒ Amu’s present age = 7x = 7 × 12 = 84 years

⇒ Tanu’s present age = 3x = 3 × 12 = 36 years

After 2 years

⇒ Amu’s age = 84 + 2 = 86 years

⇒ Manu’s age = 24 + 2 = 26 years

⇒ Tanu’s age = 36 + 2 =38 years

Ratio

(After 2 years Amu’s age + After 2 years Tanu’s age) ∶ (After 2 years Manu’s age)

(86 + 38) ∶ (26)

⇒ 124 ∶ 26

⇒ 62 ∶ 13

∴ The ratio of Amu and Tanu’s age to Manu’s age  after 2 years is 62 ∶ 13

The correct option is 4 i.e. 62 ∶ 13