“I am twice as old as you were when I was as old as you are”, Find Age?

A says to B, “I am twice as old as you were when I was as old as you are”. The sum of their present ages is 63 years. What is the  present age of A?

  1. 18 Years
  2. 28 Years
  3. 36 Years
  4. 45 Years
pankajcare Default Asked on 2nd June 2015 in Maths.
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  • 1 Answer(s)

    Answer: (3) 36 years
    Explanation:-
    Let be the present age of A = X
    Difference between their age = X – (63 – X)
    = 2X – 63  ……..(1)
    when A was 63- X
    B’s age must be  = (A’s age – their age difference)
    B’s past age = (63 – X) – (2X – 63)
    = 126 – 3X
    It is given that A’s age present age is twice of the B’s age
    X = 2(126 – 3X)
    X = 252 – 6X
    6X + X = 252
    7X = 252
    X = 252/7
    X = 36

    Hence, the age of A is 36 years.

    Anurag Mishra Professor Answered on 2nd June 2015.
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