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    Question

    The HCF and the LCM of two numbers are 5 and 175,

    respectively. If the ratio of the two numbers is 5:7, the larger of the two numbers is _______.
    A 24 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 27 Correct Answer Incorrect Answer
    D 35 Correct Answer Incorrect Answer

    Solution

    HCF = 5 LCM = 175 Ratio = 5:7 Let the numbers be 5x and 7x. Using the relation HCF × LCM = Product of the two numbers: 5 x 175 =5x × 7x 875 = 35x2 x2=875/35 =25 x=5 Larger number = 7x=7x5= 35.

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