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    Question

    If the ratio between two numbers is 3: 5 and their LCM

    is 120, then the numbers are:
    A 21,35 Correct Answer Incorrect Answer
    B 24,40 Correct Answer Incorrect Answer
    C 27,45 Correct Answer Incorrect Answer
    D 30,50 Correct Answer Incorrect Answer

    Solution

    Let the HCF of two numbers = y Let the two numbers be 3y and 5y. => 3y × 5y = 120 × y ⇒ 15y = 120y ⇒ 15y = 120 ⇒ y = 8 3y = 3 × 8 = 24 5y = 5 × 8 = 40 ∴ The two numbers are 24, 40.

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