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    Five – fourths of a number is greater than three – fourths of the number by 6. Find the number.
    Question

    Five – fourths of a number is greater than three – fourths of the number by 6. Find the number.

    A.

    10

    B.

    14

    C.

    12

    D.

    8

    Correct option is C

    Given:

    Five-fourths of the number = 54x\frac{5}{4}x​​
    Three-fourths of the number = 34x\frac{3}{4}x​​
    Difference = 6

    Solution:  

    Let the number be x.

    then, 

    5x43x4=6\frac{5x}4 - \frac{3x}{4} = 6​​

    24x=6\frac{2}{4}x = 6

    12x=6\frac{1}{2}x = 6

    x=12x = 12 

    thus, the number is 12

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