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Home Verbal Reasoning Problems on Ages See What Others Are Saying!
  • Question
  • In 10 years A will be twice as old as B was 10 years ago. If A is now 9 years older than B, what is the present age of B?


  • Options
  • A. 38 years
  • B. 39 years
  • C. 40 years
  • D. 41 years

  • Correct Answer
  • 39 years 

    Explanation

    Method 1
    Let the present age of B and A be x and ( x + 9 ) years; then,
    Age of B and A after 10 years will be x + 10 and x + 9 + 10;
    According to question,
    In 10 years A will be twice as old as B was 10 years ago
    2(x - 10) = x + 9 + 10
    2x - 20 = x + 19
    ? 2x - x = 19 + 20
    ? x = 39 years

    Method 2
    Let us assume the present age of B and A be x and y years.
    According to question,
    A is now 9 years older than B,
    y = x + 9...........(1)
    Again according to question,
    In 10 years A will be twice as old as B was 10 years ago
    y + 10 = 2( x - 10)................. (2)
    now put the value of y from equation (1) in above equation (2)
    x + 9 +10 = 2x - 20
    ? 2x - x = 19 + 20
    ? x = 39 years
    So Present age of B = 39 years.


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