1.

5 years ago, the ages of father and son were in the ratio 5 ∶ 3. The sum of their present ages is 90 years. The present age of father is:1. 50 years2. 60 years3. 55 years4. None of these

Answer» Correct Answer - Option 3 : 55 years

Given:

Ratio of the ages of father and son 5 years ago = 5 : 3

The sum of their present ages = 90 years

Calculation:

Let the ratio of their ages 5 years ago be 5x and 3x respectively

Present age of father = 5x + 5

Present age of son = 3x + 5

According to the question

⇒ (5x + 5) (3x + 5) = 90

⇒ 8x + 10 = 90

⇒ 8x = 90 – 10

⇒ 8x = 80

⇒ x = 10

The present age of father = 5x + 5 = (5 × 10 + 5) years

⇒ 55 years

∴ The present age of father is 55 years



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