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      Question

      The average of eight numbers is 50. When four more numbers are included, the average increases by 3. Find the average of the numbers included.

      A 56 Correct Answer Incorrect Answer
      B 57 Correct Answer Incorrect Answer
      C 58 Correct Answer Incorrect Answer
      D 59 Correct Answer Incorrect Answer

      Solution

      Sum of the 8 numbers = 50 Γ— 8 = 400
      New average = 50 + 3 = 53
      Sum of 12 numbers = 53 Γ— 12 = 636
      Sum of new 4 numbers = 636 - 400 = 236
      Required average = 236 Γ· 4 = 59

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