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Home Verbal Reasoning Problems on Ages See What Others Are Saying!
  • Question
  • The ratio of ages of a man and his wife is 4 : 3. After 4 years, this ratio will be 9 : 7 If at the time of marriage the ratio was 5 : 3, then how many years ago were they married?


  • Options
  • A. 15 years
  • B. 12 years
  • C. 10 years
  • D. 8 years

  • Correct Answer
  • 12 years 

    Explanation

    Let the present ages of the man and his wife are 4x and 3x years respectively; then
    After 4 years ages of man and his wife will be 4x + 4 and 3x + 4 years.
    According to question,
    After 4 years, this ratio of their ages will be 9 : 7,
    (4x + 4)/ (3x + 4) = 9/7
    ? (4x + 4)7 = 9(3x + 4)
    ? 28x + 28 = 27x + 36
    ? x = 8
    Hence, their present ages are 4 x 8 = 32 years and 3 x 8 = 24 years
    If t years ago they were married, then
    (32 - t) /(24 - t) = 5/3
    ? (32 - t)3 = 5(24 - t)
    ? 96 -3t = 120 - 5t
    ? 2t = 24
    ? t = 12 years


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