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      Question

      The ages of A, B and C are in the ratio 6:8:9 and the

      sum of their ages is 69. Find the ratio of 9 years ago Bโ€™s age to Cโ€™s age after 9 years.
      A 7:19 Correct Answer Incorrect Answer
      B 2:7 Correct Answer Incorrect Answer
      C 1:4 Correct Answer Incorrect Answer
      D 5:12 Correct Answer Incorrect Answer

      Solution

      Let the present age of A, B and C be 6x, 8x and 9x respectively. According to the question, => A + B + C = 69 => 6x + 8x + 9x = 69 => x = 3 Bโ€™s age 9 years ago = 8x โ€“ 9 = 24 โ€“ 9 = 15 Cโ€™s age after 9 years = 9x + 9 = 27 + 9 = 36 Required ratio = 15 : 36 = 5:12

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