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      Question

      There are three numbers such that when the average of

      any of the two numbers is added with the third number, sum obtained will be 200, 250 and 300. Find the average of all three numbers.
      A 125 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 105 Correct Answer Incorrect Answer
      D 115 Correct Answer Incorrect Answer
      E 113 Correct Answer Incorrect Answer

      Solution

      Let the three numbers be a, b and c respectively. According to question; (a + b + 2c) = 200 × 2 = 400……………..(1) (a + 2b + c) = 250 × 2 = 500……………..(2) (2a + b + c) = 300 × 2 = 600……………..(3) From equation (1), (2) and (3) 4 × (a + b + c) = 1500 a + b + c = 375 (a + b + c)/3 = 125

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