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    If one-third of a number is 6 more than the number itself, then find the number.
    Question

    If one-third of a number is 6 more than the number itself, then find the number.

    A.

    -5

    B.

    -9

    C.

    -7

    D.

    -6

    Correct option is B

    Given:

    One- third of a number is 6 more than the number itself

    Solution:

    Let the number be x

    Then one-third of the number = 13ofx=x3\frac{1}{3} of x = \frac{x}{3}​​

    x3=x+6\frac{x}{3} = x + 6​​

    x3x=6\frac{x}{3} -x = 6​​

    x3x3=6\frac{x-3x}{3} = 6​​

    -2x = 18

    x= -9

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