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      Question

      The ages of A, B and C together are 46 years. B is

      thrice as old as A and C is 6 years older than A. What is the difference between ages of B and C?
      A 8 years Correct Answer Incorrect Answer
      B 7 years Correct Answer Incorrect Answer
      C 10 years Correct Answer Incorrect Answer
      D 6 years Correct Answer Incorrect Answer

      Solution

      Let Aโ€™s age be x years. Bโ€™s age = 3x and Cโ€™s age = (6 + x) According to question, => x + 3x + (6 + x) = 46 => 5x = 40 => x = 8 Bโ€™s age = 3x = 24 years Cโ€™s age = 6 + x = 14 years Difference between the ages of B and C = 24 โ€“ 14 = 10 years

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