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    Question

    The LCM of two numbers is 392 times their HCF. If the

    sum of the LCM and HCF is 1965 and one of the numbers is 245, find the other number. 
    A 35 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 80 Correct Answer Incorrect Answer

    Solution

    Given: LCM = 392 × HCF LCM + HCF = 1965 One number = 245 Let other number = x Let HCF = h So, LCM = 392h From LCM + HCF = 1965:

    LCM = 392×5 = 1960 Use: LCM × HCF = Product of numbers

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