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Home Verbal Reasoning Problems on Ages See What Others Are Saying!
  • Question
  • The ages of Samir and Saurabh are in the ratio of 8 : 15 respectively . After 9 years the ratio of their ages will be 11 : 18. What is the difference between their ages in years?


  • Options
  • A. 20 years
  • B. 21 years
  • C. 22 years
  • D. 24 years

  • Correct Answer
  • 21 years 

    Explanation

    Let the present ages of Samir and Saurabh are 8a and 15a years respectively ; .
    After 9 years the ages of Samir and Saurabh will be 8a + 9 and 15a + 9.
    According to question,
    After 9 years the ratio of their ages will be 11 : 18, then
    (8a + 9)/ = 11/18
    ? (8x + 9) x 18 = 11 x (15a + 9)
    ? 144a + 162 = 165a + 99
    ? 21a = 63
    ? a = 3
    Hence, difference of their ages = 15a - 8a = 7a = 7 x 3 = 21 years


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