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    Question

    The LCM of two numbers is 720. The HCF of these numbers

    is 12. If one of the numbers is 48, find the other number.
    A 180 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 120 Correct Answer Incorrect Answer
    D 100 Correct Answer Incorrect Answer
    E 150 Correct Answer Incorrect Answer

    Solution

    We know that the product of two numbers is equal to the product of their LCM and HCF: LCM × HCF = Product of the two numbers. Let the second number be x. LCM × HCF = 48 × x 720 × 12 = 48 × x 8640 = 48 × x x = 8640 ÷ 48 x = 180. Correct option: a

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