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    Question

    Average of 8 numbers is 80. If average of first four and

    last two numbers is 80 and 60, respectively then find the fifth number given that ratio of fifth and sixth number is 7:5, respectively.
    A 155 Correct Answer Incorrect Answer
    B 165 Correct Answer Incorrect Answer
    C 175 Correct Answer Incorrect Answer
    D 135 Correct Answer Incorrect Answer

    Solution

    Let fifth and sixth numbers be ‘7x’ and ‘5x’, respectively. So, 7x + 5x = 80 × 8 – 60 × 7 – 50 × 5 = 300 Or, 12x = 300 Or, x = 25 So, fifth number = 25 × 7 = 175

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