The ratio of the present age of Riti and her father is 6 : 13. After 4

1.	The ratio of the present age of Riti and her father is 6 : 13. After 4 years the age of her father will be double of her age. what was the age of her father at the time of her birth?1. 242. 283. 324. 26
Answer» Correct Answer - Option 2 : 28 Given: The ratio of the present age of Riti and her father = 6 : 13. After 4 years the age of her father = double of Riti's age. Calculation: The ratio of the present age of Riti and her father is 6 : 13 Let, her present age is 6x and that of her father is 13x After 4 years her age will be (6x + 4) After 4 years her father’s age will be (13x + 4) Accordingly, (13x + 4) = 2 × (6x + 4) ⇒ 13x + 4 = 12x + 8 ⇒ 13x – 12x = 8 – 4 ⇒ x = 4 Riti’s present age is (6 × 4) = 24 years And her father’s present age is (13 × 4) = 52 At the time of her birth her father’s age was (52 – 24) = 28 years ∴ The age of her father was 28 years at the time of her birth.

The ratio of the present age of Riti and her father is 6 : 13. After 4 years the age of her father will be double of her age. what was the age of her father at the time of her birth?1. 242. 283. 324. 26

Answer» Correct Answer - Option 2 : 28

Given:

The ratio of the present age of Riti and her father = 6 : 13.

After 4 years

the age of her father = double of Riti's age.

Calculation:

The ratio of the present age of Riti and her father is 6 : 13

Let, her present age is 6x and that of her father is 13x

After 4 years her age will be (6x + 4)

After 4 years her father’s age will be (13x + 4)

Accordingly,

(13x + 4) = 2 × (6x + 4)

⇒ 13x + 4 = 12x + 8

⇒ 13x – 12x = 8 – 4

⇒ x = 4

Riti’s present age is (6 × 4) = 24 years

And her father’s present age is (13 × 4) = 52

At the time of her birth her father’s age was (52 – 24) = 28 years

∴ The age of her father was 28 years at the time of her birth.

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