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    Question

    The sum of HCF and LCM of two numbers is 425. If the LCM is

    16 times the HCF, and one number is 25, find the second.
    A 100 Correct Answer Incorrect Answer
    B 260 Correct Answer Incorrect Answer
    C 400 Correct Answer Incorrect Answer
    D 350 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let HCF = x

    LCM = 16x

    x + 16x = 425

    ⇒ 17x = 425

    ⇒ x = 25

    Now,

    25 × y = 25 × 16 × 25

    ⇒ 25y = 10000

    ⇒ y = 10000 ÷ 25 = 400

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