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    Question

    The HCF and LCM of two natural numbers are 14 and 84,

    respectively. What is the difference between the two numbers, if one of the numbers is 28?
    A 12 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 16 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    Given:
    - HCF = 14
    - LCM = 84
    - First number = 28
    Using the formula:
    HCF × LCM = First number × Second number
    14 × 84 = 28 × Second number
    1176 = 28 × Second number
    Second number = 1176 / 28 = 42
    Difference between two numbers: 42 - 28 = 14

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