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    Question

    The HCF and LCM of two natural numbers are 15 and 75,

    respectively. What is the difference between the two numbers, if one of the numbers is 25?
    A 15 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 30 Correct Answer Incorrect Answer

    Solution

    Given:
    - HCF = 15
    - LCM = 75
    - First number = 25
    Using the formula:
    HCF × LCM = First number × Second number
    15 × 75 = 25 × Second number
    1125 = 25 × Second number
    Second number = 1125 / 25 = 45
    Difference between two numbers: 45 - 25 = 20

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