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      Question

      The ages of A, B and C together are 60 years. B is

      thrice as old as A and C is 5 years older than A. What is the difference between ages of B and C?
      A 18 years Correct Answer Incorrect Answer
      B 15 years Correct Answer Incorrect Answer
      C 13 years Correct Answer Incorrect Answer
      D 17 years Correct Answer Incorrect Answer
      E 11 years Correct Answer Incorrect Answer

      Solution

      Let A’s age be x years. B’s age = 3x and C’s age = (5 + x) According to question, => x + 3x + (5 + x) = 60 => 5x = 55 => x = 11 B’s age = 3x = 33 years C’s age = 5 + x = 16 years Difference between the ages of B and C = 33 – 16 = 17 years

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