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      Question

      The ages of A, B and C are in the ratio 4:6:7 and the

      sum of their ages is 85. Find the ratio of 15 years ago Bโ€™s age to Cโ€™s age after 15 years.
      A 7:19 Correct Answer Incorrect Answer
      B 2:7 Correct Answer Incorrect Answer
      C 1:3 Correct Answer Incorrect Answer
      D 3:10 Correct Answer Incorrect Answer

      Solution

      Let the present age of A, B and C be 4x, 6x and 7x respectively. According to the question, => A + B + C = 85 => 4x + 6x + 7x = 85 => x = 5 Bโ€™s age 15 years ago = 6x โ€“ 15 = 30 โ€“ 15 = 15 Cโ€™s age after 15 years = 7x + 15 = 35 + 15 = 50 Required ratio = 15 : 50 = 3:10

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