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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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