The sum of the ages of a father and his daughter is 100 yr now. 5 yr a

1.	The sum of the ages of a father and his daughter is 100 yr now. 5 yr ago, their ages were in the ratio 2 : 1. Find the ratio of the ages of father and daughter after 10 yr.1. 6 : 52. 5 : 23. 4 : 54. 5 : 35. 7 : 3
Answer» Correct Answer - Option 4 : 5 : 3 Given: Sum of the ages of a father and his daughter = 100 yr 5yrs ago ratio of father and daughter = 2 : 1 Calculations: Let the father’s present age be x. Let the daughter’s present age be (100 - x). ∴ According to the question ⇒ (x - 5)/(100 - x - 5) = 2/1 ⇒ x - 5 = 200 - 2x - 10 ⇒ 3x = 195 ⇒ x = 195/3 ⇒ x = 65 ∴ After 10 years, Age of father/Age of daughter = (65 + 10)/(35 + 10) = 75/45 = 5/3 ∴ Required ratio is 5 : 3. The ratio of the ages of father and daughter after 10 years is 5 : 3.

The sum of the ages of a father and his daughter is 100 yr now. 5 yr ago, their ages were in the ratio 2 : 1. Find the ratio of the ages of father and daughter after 10 yr.1. 6 : 52. 5 : 23. 4 : 54. 5 : 35. 7 : 3

Answer» Correct Answer - Option 4 : 5 : 3

Given:

Sum of the ages of a father and his daughter = 100 yr

5yrs ago ratio of father and daughter = 2 : 1

Calculations:

Let the father’s present age be x.

Let the daughter’s present age be (100 - x).

∴ According to the question

⇒ (x - 5)/(100 - x - 5) = 2/1

⇒ x - 5 = 200 - 2x - 10

⇒ 3x = 195

⇒ x = 195/3

⇒ x = 65

∴ After 10 years,

Age of father/Age of daughter = (65 + 10)/(35 + 10) = 75/45 = 5/3

∴ Required ratio is 5 : 3.

The ratio of the ages of father and daughter after 10 years is 5 : 3.

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