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      Question

      Two years ago, the ages of A, B, and C were xβˆ’6x - 6,

      x+10x + 10, and x+14x + 14 years respectively. If the average of their current ages is 38 years, determine the value of x. .
      A 28 Correct Answer Incorrect Answer
      B 16 Correct Answer Incorrect Answer
      C 32 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Present age of A = x – 6 + 2 = β€˜x – 4’ years Present age of B = x + 10 + 2 = β€˜x + 12’ years Present age of C = x + 14 + 2 = β€˜x + 16’ years 38 = [(x – 4) + (x + 12) + (x + 16)] / 3 3x + 24 = 114 x = 30

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