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    Question

    Average of 8 numbers is 70. If average of first four and

    last two numbers is 50 and 60, respectively then find the fifth number given that ratio of fifth and sixth number is 7:5, respectively.
    A 120 Correct Answer Incorrect Answer
    B 130 Correct Answer Incorrect Answer
    C 140 Correct Answer Incorrect Answer
    D 150 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let fifth and sixth numbers be тАШ7xтАЩ and тАШ5xтАЩ, respectively. So, 7x + 5x = 70 ├Ч 8 тАУ 50 ├Ч 7 тАУ 60 ├Ч 5 = 240 Or, 12x = 240 Or, x = 20 So, fifth number = 20 ├Ч 7 = 140

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