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    Question

    The sum of HCF and LCM of two numbers is 765. The LCM is 84

    times the HCF. If one of the numbers is 85, what is the other number? (find approximate value)
    A 10 Correct Answer Incorrect Answer
    B 26 Correct Answer Incorrect Answer
    C 80 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let HCF = x

    Then LCM = 84x

    x + 84x = 765

    ⇒ 85x = 765

    ⇒ x = 9

    Now,

    85 × y = 9 × 84 × 9 = 6804

    ⇒ y = 6804 ÷ 85 = 80.047 or approximate 80

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