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    Question

    The LCM of the two numbers is 27 times their HCF, and

    the difference between the LCM and HCF is 416. If the numbers are in the ratio 4: 7, then find the positive difference between the numbers.
    A 42 Correct Answer Incorrect Answer
    B 64 Correct Answer Incorrect Answer
    C 48 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer

    Solution

    Let HCF =x LCM=27x ATQ- 27x-x=416 26x =416 x=16 Ratio of the numbers =4:7 First number =4x and Second number =7x.   Positive difference between the number=3x=3×16=48.

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