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    Question

    HCF of two numbers 50 and 80 can be expressed in the

    form of (30m – 110) whereas LCM of these two numbers can be expressed in the form of (60n – 20). Find the ratio of (n × m).
    A 32 Correct Answer Incorrect Answer
    B 63 Correct Answer Incorrect Answer
    C 56 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer

    Solution

    HCF of 50 and 80 = 10 LCM of 50 and 80 = 400 According to the question, => 30m – 110 = 10 => m = 4 And, 60n – 20 = 400 => n = 7 Required answer = n x m = 28

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