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Home Verbal Reasoning Problems on Ages See What Others Are Saying!
  • Question
  • Sudha's grandfather was 8 time older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Sudha's age to that of her grandfather?


  • Options
  • A. 11 : 50
  • B. 3 : 8
  • C. 1 : 5
  • D. 1 : 2

  • Correct Answer
  • 11 : 50 

    Explanation

    Let us assume 16 years ago, the age of Sudha and her grandfather were x and 8x years respectively; then
    Present age of Sudha = x + 16
    Present age of her grandfather = 8x + 16
    After 8 years age of sudha from now = x + 16 + 8
    After 8 years age of grandfather from now = 8x + 16 + 8
    now according to question,
    He would be 3 times of her age 8 years from now.
    3(x + 16 + 8) = 8x + 16 + 8
    ? 3x + 72 = 8x + 24
    ? 5x = 48
    ? x = 48/5
    Eight years ago , sudha age = x + 16 - 8 = x + 8
    Eight years ago , grandfather age = 8x + 16 - 8 = 8x + 8
    Hence, required ratio = (x + 8) / (8x + 8 )
    Put the vale of x , we will get
    ? required ratio = (48/5 + 8) / ( 8 x 45/5 + 8)
    ? required ratio = ((48 + 40)/5) / ( (8 x 45 + 40)/5)
    ? required ratio = (88/5) / ( 400/5)
    ? required ratio = 88 / 400
    ? required ratio = 11 : 50


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