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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 120, 122 and 130. Find the average of all three numbers.
      A 60 Correct Answer Incorrect Answer
      B 66 Correct Answer Incorrect Answer
      C 62 Correct Answer Incorrect Answer
      D 61 Correct Answer Incorrect Answer
      E 68 Correct Answer Incorrect Answer

      Solution

      Let the three numbers be a, b and c respectively. According to question; (a + b + 2c) = 120 × 2 = 240……………..(1) (a + 2b + c) = 122 × 2 = 244……………..(2) (2a + b + c) = 130 × 2 = 260……………..(3) From equation (1), (2) and (3) 4 × (a + b + c) = 744 a + b + c = 186 (a + b + c)/3 = 62

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