The ratio of the present age of Mahesh and Ajay is 3 : 2 respectively.

1.	The ratio of the present age of Mahesh and Ajay is 3 : 2 respectively. After 8 years. Ratio of their age will be 11: 8. What will be the present age of Mahesh’s son if his age is half of the present age of Ajay?1. 15 years2. 16 years3. 12 years4. 18 years
Answer» Correct Answer - Option 3 : 12 years Given: The ratio of the present age of Mahesh and Ajay is 3 : 2 respectively. Ratio of their age will after 8 years 11: 8. Calculation: Let The present age of Mahesh be 3x years. And The present age of Ajay be 2x years. According to the question; The ratio of their age will 8 years from now will be 11: 8, ⇒ (3x + 8)/(2x + 8) = 11/8 ⇒ 8 × (3x + 8) = (2x + 8) × 11 ⇒ 24x + 64 = 22x + 88 ⇒ 24x – 22x = 88 –64 ⇒ 2x = 24 ⇒ x = 12 So, The present age of Ajay = 2x years = 2 × 12 = 24 years ∴ Mahesh's Son age = 24/2 = 12 years.

The ratio of the present age of Mahesh and Ajay is 3 : 2 respectively. After 8 years. Ratio of their age will be 11: 8. What will be the present age of Mahesh’s son if his age is half of the present age of Ajay?1. 15 years2. 16 years3. 12 years4. 18 years

Answer» Correct Answer - Option 3 : 12 years

Given:

The ratio of the present age of Mahesh and Ajay is 3 : 2 respectively.

Ratio of their age will after 8 years 11: 8.

Calculation:

Let The present age of Mahesh be 3x years.

And The present age of Ajay be 2x years.

According to the question;

The ratio of their age will 8 years from now will be 11: 8,

⇒ (3x + 8)/(2x + 8) = 11/8

⇒ 8 × (3x + 8) = (2x + 8) × 11

⇒ 24x + 64 = 22x + 88

⇒ 24x – 22x = 88 –64

⇒ 2x = 24

⇒ x = 12

So, The present age of Ajay = 2x years = 2 × 12 = 24 years

∴ Mahesh's Son age = 24/2 = 12 years.

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