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    Question

    Average of 22 numbers is 58. If the average of the first

    eight and last seven numbers is 65.5 and 48.5 respectively, and if the eleventh number is 35% more than the tenth number and the twelfth number is (50/9)% less than the eleventh number, then find the eleventh number.
    A 150.77 Correct Answer Incorrect Answer
    B 125.99 Correct Answer Incorrect Answer
    C 117.45 Correct Answer Incorrect Answer
    D 137.55 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the tenth number be 10x. So, the eleventh number = 1.35 ├Ч 10x = 13.5x. Twelfth number = 850/9 ├Ч 1/100 ├Ч 13.5x = 34x/3. So, 10x + 13.5x + 34x/3 = 58 ├Ч 22 тАУ 8 ├Ч 65.5 тАУ 7 ├Ч 48.5 = 290. Or, 100x/3 = 290. Or, x = 8.7. So, the eleventh number = 13.5 ├Ч 8.7 = 117.45.

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