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      Question

      A set contains ten numbers. The average of the first

      six numbers is (x βˆ’ 5), and the average of the last three numbers is (x + 1). The average of the entire set is 'x'. If the 7th number of the set is 48, then find the value of 'x'.
      A 25 Correct Answer Incorrect Answer
      B 21 Correct Answer Incorrect Answer
      C 27 Correct Answer Incorrect Answer
      D 23 Correct Answer Incorrect Answer
      E 30 Correct Answer Incorrect Answer

      Solution

      Sum of the numbers of set = 10x Sum of first 6 numbers = 6(x βˆ’ 5) = 6x βˆ’ 30 Sum of last 3 numbers = 3(x + 1) = 3x + 3 ATP, 6x βˆ’ 30 + 48 + 3x + 3 = 10x 9x + 21 = 10x x = 21

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