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    Two numbers are in the ration of 5 : 3. If difference between the numbers is 54, then find the smaller number.
    Question

    Two numbers are in the ration of 5 : 3. If difference between the numbers is 54, then find the smaller number.

    A.

    91

    B.

    135

    C.

    81

    D.

    115

    Correct option is C

    Given:

    Two numbers are in the ration of 5 : 3.  

    Difference between the numbers is 54 

    Solution: 

    Let the first number = 5x 

    second number = 3x 

    According to the question 

    5x - 3x = 54 

    2x = 54 

    x = 27 

    Then the smaller number = 3x = 3 ×\times​27 = 81 

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