The ratio of the present ages of Ram and Ramesh is 3 : 5. After 7 years the ratio of their ages will be 4 : 5. Find the present age of Ramesh.

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 5 years
  2. 15 years
  3. 7 years
  4. 12 years

Answer (Detailed Solution Below)

Option 3 : 7 years
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Detailed Solution

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Given:

Ratio between the present ages of Ram and Ramesh is 3 : 5

After 7 years the ratio of their ages will be 4 : 5.

Calculation:

Let the present age of Ram and Ramesh be 3x and 5x

According to the question,

\(\frac{3x +7}{5x + 7} = \frac{4}{5}\)

⇒ 15x + 35 = 20x + 28

⇒ 35 - 28 = 20x - 15x

⇒ 5x = 7

⇒ x = 7/5

So, the present age of Ramesh = 5 × 7/5

⇒ 7 years

∴The present age of Ramesh is 7 years.

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