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    Question

    HCF of two numbers 40 and 90 can be expressed in the

    form of (30m – 110) whereas LCM of these two numbers can be expressed in the form of (60n – 30). Find the ratio of (n × m).
    A 36 Correct Answer Incorrect Answer
    B 26 Correct Answer Incorrect Answer
    C 63 Correct Answer Incorrect Answer
    D 24.5 Correct Answer Incorrect Answer

    Solution

    HCF of 40 and 90 = 10 LCM of 40 and 90 = 360 According to the question, => 30m – 110 = 10 => m = 4 And, 60n – 30 = 360 => n = 6.5 Required answer = n x m = 26

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