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Ratio between the Present ages of A & B is 5 : 4. If the age of A, 3 years ago is 2 years more than the age of B 4 years hence then find their total age.

  1. 80 years 
  2. 81 years
  3. 60 years
  4. 70 years

Answer (Detailed Solution Below)

Option 2 : 81 years
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Detailed Solution

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Given:

Ratio between the Present ages of A & B is 5 : 4

The age of A, 3 years ago is 2 years more than the age of B 4 years hence

Calculation:

Ratio between the Present ages of A & B is 5 : 4

⇒ Ages of A and B can be represented as 5x and 4x respectively

Now, the age of A, 3 years ago is 2 years more than the age of B 4 years hence

(5x - 3) = (4x + 4) + 2

⇒ x = 9

Total age of A and B = 5x + 4x = 9x

∴ Total age = 9 × 9 = 81 years

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