The ratio of the present age of father to that of his son is 7 : 2. If after 10 years the ratio of their ages will become 9 : 4, then the present age of the father is:

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. 43 years
  2. 35 years
  3. 37 years
  4. 40 years

Answer (Detailed Solution Below)

Option 2 : 35 years
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Detailed Solution

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Given:

The ratio of the present age of the father to that of his son = F : S =  7 : 2.

Calculation:

Let the present age of the father (F) = 7x

the present age of son (S) = 2x

According to the question:

⇒ (7x + 10)/(2x + 10) = 9/4

⇒ 28x + 40 = 18x + 90

⇒ 28x - 18x = 90 - 40

⇒ 10x = 50 

⇒ x = 5

So, the present age of the father (F) = 7x = 7 × 5 = 35 years.

∴ The correct answer is 35 years.

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