Ratio between the present ages of A and B is 2 ∶ 3, respectively. After 5 years, the ratio between their ages will be 3 ∶ 4. What is B's age at present?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 4)
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  1. 20 years
  2. 15 years
  3. 10 years
  4. 25 years

Answer (Detailed Solution Below)

Option 2 : 15 years
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Detailed Solution

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Given:

Ratio between the present ages of A and B is 2 ∶ 3

After 5 years the ratio of their ages will be 3 ∶ 4.

Calculation:

Let the present age of A and B be 2x and 3x

According to the question,

\(\frac{2x +5}{3x + 5} = \frac{3}{4}\)

⇒ 8x + 20 = 9x + 15

⇒ 20 - 15 = 9x - 8x

⇒ x = 5

So, the present ages of B = 3 × 5

⇒ 15 years

B's age at present is 15.

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