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    Question

    The HCF of two numbers is 18 and their LCM is 540. If

    one of the numbers is 90, find the other number.
    A 127 Correct Answer Incorrect Answer
    B 108 Correct Answer Incorrect Answer
    C 150 Correct Answer Incorrect Answer
    D 133 Correct Answer Incorrect Answer

    Solution

    For two numbers a and b: a × b = HCF × LCM So, 90 × b = 18 × 540 18 × 540 = (18 × 54) × 10 = 972 × 10 = 9720 Thus b = 9720 / 90 = 108 Answer: The other number is 108.

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