What is Rajan present age?

Rajan’s age is 3 times than that of Ashok. In 12 years, Rajan’s age will be double the age of Ashok. Rajan’s present age is:

  1. 27 years
  2. 32 years
  3. 36 years
  4. 40 years
Anurag Mishra Professor Asked on 5th March 2016 in Reasoning Questions.
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1 Answer(s)

Answer: (3) 36 years

Explanation:-
Let the age of Rajan and Ashok be X & Y years

Rajan’s age is 3 times than that of Ashok.
Then,  X = 3 Y
X – 3 Y = 0   ………………………….. (1)

In 12 years, Rajan’s age will be double the age of Ashok.
Then,  X + 12 = 2 (Y + 12)
X + 12 = 2 Y + 24
X – 2 Y = 24 – 12
X – 2 Y = 12 ……………………..(2)

Equation (2) Subtract from equation (1),
X  – 3 Y – X + 2 Y = – 12
– Y = – 12
Y = 12

Then, the age of Rajan = X = 3 x 12
= 36 years.

Hence, the correct answer is option (3) 36 years.

Anurag Mishra Professor Answered on 5th March 2016.
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