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      Question

      Average of first 4 numbers is 1.5 times the average of

      the next 2 numbers. If the average of all 6 numbers is 30, find the sum of the last 2 numbers.
      A 36 Correct Answer Incorrect Answer
      B 40 Correct Answer Incorrect Answer
      C 42 Correct Answer Incorrect Answer
      D 45 Correct Answer Incorrect Answer

      Solution

      Let the sum of the last 2 numbers be 'n'.
      (sum of first 4 numbers) ÷ 4 = 1.5 × (n/2)
      ⇒ sum of first 4 numbers = 3n
      Total sum = 3n + n = 4n
      Average = (4n)/6 = 30
      ⇒ 4n = 180
      ⇒ n = 45

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