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    Question

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

    one of the numbers is 90, find the other number.
    A 120 Correct Answer Incorrect Answer
    B 135 Correct Answer Incorrect Answer
    C 150 Correct Answer Incorrect Answer
    D 108 Correct Answer Incorrect Answer
    E 112 Correct Answer Incorrect Answer

    Solution

    We know that the relationship between the LCM, HCF, and the two numbers is: LCM × HCF = Product of the two numbers. Let the second number be x. Therefore, 540 × 18 = 90 × x 9720 = 90x x = 9720 ÷ 90 x = 108. Thus, the other number is 108. Correct option: d

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