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      Question

      Average of first 2 numbers is twice the average of next 4

      numbers. If the average of all 6 numbers is 18, find the sum of the last 4 numbers.
      A 54 Correct Answer Incorrect Answer
      B 58 Correct Answer Incorrect Answer
      C 32 Correct Answer Incorrect Answer
      D 36 Correct Answer Incorrect Answer
      E 40 Correct Answer Incorrect Answer

      Solution

      Let the sum of the last 4 numbers be 'n'.
      (sum of first 2 numbers) ÷ 2 = 2 × (n/4)
      ⇒ Sum of first 2 numbers = n
      Total sum = n + n = 2n
      Average of 6 numbers = 2n ÷ 6 = 18
      ⇒ 2n = 108
      ⇒ n = 54

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