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84 times the difference between a number and 15 is equal to the number plus-55. Write out the equation.

Solution

84 times the difference between a number and 15 is equal to the number plus -55. Write out the equation.

Solution

The number : 14 \frac{43}{83}

Solution steps

Represent the number with

x

A.T.Q.:

84 (x - 15) = x + (- 55)

Solve for

x, 84 (x - 15) = x + (- 55) : x = \frac{1205}{83}

Convert improper fractions to mixed numbers:

\frac{1205}{83} = 14 \frac{43}{83}

The number : 14 \frac{43}{83}

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