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Home Verbal Reasoning Problems on Ages See What Others Are Saying!
  • Question
  • 2 years ago a mother was 4 times as old as her son. 6 years from now her age will become more than double her son's age by 10 years. What is the present ratio of their ages?


  • Options
  • A. 2 : 1
  • B. 38 : 11
  • C. 19 : 7
  • D. 3 : 1

  • Correct Answer
  • 38 : 11 

    Explanation

    Suppose the present age of son = P years
    Present age of mother = Q years
    According to question,
    4 (P ? 2) = Q ? 2
    ? 4P ? 8 = Q ? 2
    ? 4P ? Q = 6 ...(i)
    2 (P + 6) + 10 = Q + 6
    ? 2P + 12 + 10 = Q + 6
    ? 2P ? Q = ?16 ...(ii)
    From equations (i) and (ii)
    P = 11
    ? Q = 4 × 11 ? 6 = 38
    Required the present ratio of their ages = 38 : 11


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