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    LCM and HCF of two numbers are 154 and 7 respectively. If one of the numbers is 77, then find the other number.
    Question

    LCM and HCF of two numbers are 154 and 7 respectively. If one of the numbers is 77, then find the other number.

    A.

    16

    B.

    15

    C.

    13

    D.

    14

    Correct option is D

    Given:

    LCM of two numbers = 154

    HCF of two numbers = 7

    One of the numbers = 77

    Formula Used:

    Product of two numbers = LCM × HCF

    Solution:

    Let the two numbers be 'a' and 'b'.

    We are given that a = 77

    Let the other number be 'b'.

    Using the formula, a × b = LCM × HCF

    77 × b = 154 × 7

    b =(154×7)77\frac{(154 × 7) }{ 77}​​

    b = 14

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