The average age of a man and his son is 55 years. The ratio of their ages is 7 ∶ 4,respectively. What will be the ratio of their ages after 6 years?

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 2)
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  1. 2
  2. 12  7
  3. 25  17
  4. 38  23

Answer (Detailed Solution Below)

Option 4 : 38  23
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Detailed Solution

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Given:

The average age of a man and his son is 55 years.

The ratio of their ages is 7 ∶ 4 and respectively. 

Calculation:

Let the age of the man and his son be 7x and 4x respectively.

​According to the question,

(7x + 4x) = 55 × 2

⇒ 11x = 110

⇒ x = 10

Now, the ratio of their ages after 6 years

⇒ (7 × 10 + 6) : (4 × 10 + 6)

⇒ 76 : 46 = 38 : 23

∴ The ratio of their ages after 6 years is 38 : 23.

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