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  • Question

  • Average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 years, and B is 5 years younger to C, then find the difference between the age of A and C?


  • Options
  • A. 6
  • B. 9
  • C. 12
  • D. 15

  • Correct Answer
  • 9 

    Explanation

    Let the present ages of A & B to be ?a? & ?b? respectively.
    Hence, 2 years ago, their ages must have been (a-2) & (b-2) respectively.
    Average of their ages at that time = 26
    Hence,
    [(a-2)+(b-2)]/2 = 26
    (a-2)+(b-2) = 52
    a+b = 56
    Age of A, 5 year hence = 40 years
    Hence, (a+5) = 40
    a = 35 years
    Hence, b = 56 - 35 = 21 years
    B = (C-5)
    Hence, C = 21+5 = 26 years
    Age difference between A & C = 35 - 26 = 9 years.

    • Tags: Bank Exams

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