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      Question

      The average of the first six numbers is four times the

      average of the next three numbers. If the average of all nine numbers is 24, then find the sum of the last three numbers.
      A 55 Correct Answer Incorrect Answer
      B 24 Correct Answer Incorrect Answer
      C 46 Correct Answer Incorrect Answer
      D 60 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the sum of the last three numbers be 'n'.

      So, (sum of the first six numbers) ÷ 6 = 4 × (n/3)

      Or, sum of the first six numbers = 8n

      So, (n + 8n) ÷ 9 = 24

      Or, 9n = 216

      Or, n = 24

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