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    Question

    The sum of HCF and LCM of two numbers is 450. If the LCM

    is 14 times the HCF, and one number is 42, what is the second number?
    A 100 Correct Answer Incorrect Answer
    B 260 Correct Answer Incorrect Answer
    C 300 Correct Answer Incorrect Answer
    D 350 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let HCF = x

    LCM = 14x

    x + 14x = 450

    ⇒ 15x = 450

    ⇒ x = 30

    Now,

    42 × y = 30 × 14 × 30

    ⇒ 42y = 12600

    ⇒ y = 12600 ÷ 42 = 300

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