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    The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.
    Question

    The LCM of two numbers is 105 and numbers are in ratio 5 : 3. Find sum of numbers.

    A.

    65

    B.

    94

    C.

    49

    D.

    56

    Correct option is D

    Given:
    Numbers = 5k and 3k
    LCM = 105
    Solution:
    LCM of 5k and 3k = 15k
    15k = 105
    k = 10515\frac{105 }{ 15}​ = 7
    Numbers = 5k = 35 and 3k = 21
    Sum = 35 + 21 = 56

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