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    Question

    The ratio of two numbers A and B is 9:19 and C is 60% of

    the average of the numbers A and B. If the sum of A, B and C is 182, then what is the value of A?
    A 54 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 36 Correct Answer Incorrect Answer
    E 24 Correct Answer Incorrect Answer

    Solution

    Let the number A and B are 9y and 19y respectively.
    C = 60% of (9y + 19y)/2 = 8.4y
    Now,
    Sum of A, B and C = 182
    9y + 19y + 8.4y = 182
    36.4y = 182
    y = 5
    Hence, the value of A = 9*5 = 45

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