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    Question

    The LCM of two numbers is 33 times of their HCF. The sum

    of the LCM and HCF is 850. If one number is 25, then the other number is:
    A 850 Correct Answer Incorrect Answer
    B 760 Correct Answer Incorrect Answer
    C 250 Correct Answer Incorrect Answer
    D 690 Correct Answer Incorrect Answer

    Solution

    Let HCF = H, then LCM = 33 H => 33 H + H = 850 => 34 H = 850 => H = 850/34 = 25 LCM = 34 × 25 = 850 Now, First number × Second number = LCM × HCF => 25 × Second number = 850 × 25 => Second number = (850 × 25)/25 = 850

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