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    Question

    HCF of two numbers 70 and 140 can be expressed in the

    form of (20m โ€“ 110) whereas LCM of these two numbers can be expressed in the form of (40n โ€“ 20). Find the ratio of (n ร— 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
    E 27 Correct Answer Incorrect Answer

    Solution

    HCF of 70 and 140 = 70 LCM of 70 and 140 = 140 According to the question, => 20m โ€“ 110 = 70 => m = 9 And, 40n โ€“ 20 = 140 => n = 4 Required answer = n x m = 36

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