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    HCF and LCM of two numbers are 3 and 18 respectively. If one of them is 9, find the other number.
    Question

    HCF and LCM of two numbers are 3 and 18 respectively. If one of them is 9, find the other number.

    A.

    6

    B.

    9

    C.

    8

    D.

    3

    Correct option is A

    Given:

    LCM of two numbers = 18

    HCF of two numbers = 3

    One of the numbers = 9

    Formula Used:

    The product of two numbers is equal to the product of their LCM and HCF.

    Solution:

    Let the two numbers be 'a' and 'b'. We are given that a = 9

    Using the formula: a ×\times​ b = LCM×\timesHCF​

    9×9 \timesb = 18 ×\times3

    b =(18×3)9 \frac{(18\times 3) }{ 9}= 6

    Therefore, the other number is 6

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