The ages of Pratik and Aarif differ by 20 years. If 5 years ago, Pratik was 5 times as old as Aarif, their present ages (in years) are:

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JKSSB SI Official Paper (Held On: 07 Dec 2022 Shift 2)
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  1. 45, 25
  2. 39, 19
  3. 33, 23
  4. 30, 10

Answer (Detailed Solution Below)

Option 4 : 30, 10
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Let present age of Pratik be P and that of Aarif be A.

Given that the ages of Pratik and Aarif differ by 20 years:

P - A = 20 ----(i)

Also given that 5 years ago, Pratik was 5 times as old as Aarif:

(P - 5) = 5 (A - 5)

Expanding and simplifying the equation:

P - 5 = 5A - 25

P = 5A - 20 ----(ii)

Now, substituting the value of P from equation (ii) into equation (i):

(5A - 20) - A = 20

4A - 20 = 20

4A = 40

A = 10

Hence, the present age of Aarif is 10 years.

Substituting the value of A into equation (i) to find the age of Pratik:

P - 10 = 20

P = 30

Hence, the present age of Pratik is 30 years.

The correct answer is option 4: 30, 10

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