The ratio of present ages of A and B is 5 : 3. If the difference between A's age 10 years later and B's age 4 years earlier is 20 years, find A's present age.

  1. 11 years
  2. 15 years
  3. 17 years
  4. 20 years

Answer (Detailed Solution Below)

Option 2 : 15 years
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

Ratio of Present age of A and B = 5 : 3

The difference between the age of A 10 years hence and the age of B 4 years ago = 20 years

Calculation:

Let the Present age of A and B be 5x and 3x respectively

⇒ The age of A 10 years hence = 5x + 10 

⇒ The age of B 4 years ago = 3x - 4

Now, the difference:

 (5x + 10) - (3x - 4) = 20

⇒ 2x + 14 = 20

⇒ 2x = 6

⇒ x = 3

∴ The present age of A = 5x = 5 × 3 = 15 years

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