The ages of Sonu and Bulla are in the ratio 4 : 3 respectively, and the sum of their ages is 49 years. What will be the ratio of their ages after 4 years?

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  1. 20 : 30
  2. 25 : 32
  3. 32 : 25
  4. 30 : 21

Answer (Detailed Solution Below)

Option 3 : 32 : 25
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Detailed Solution

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Given:

Ages (Sonu and Bulla) = 4 : 3

Sum = 49 years

Calculation:

Let the age of Sonu and Bulla be 4m and 3m.

According to the question,

⇒ 4m + 3m = 49

⇒ 7m = 49

⇒ m = \(\dfrac{49}{7}\) = 7

Ratio of ages after 4 years = (4m + 4) : (3m + 4)

⇒ (4 × 7 + 4) : (3 × 7 + 4)

⇒ 32 : 25

∴ The ratio of their ages after 4 years is 32 : 25.

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