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Popular >

the sum of 1/2 and three times a number is equal to 5/6 subtracted from four times the number. Find the number

Solution

the sum of \frac{1}{2} and three times a number is equal to \frac{5}{6} subtracted from four times the number. Find the number

Solution

The number : 1 \frac{1}{3}

Solution steps

Represent the number with

x

A.T.Q.:

\frac{1}{2} + 3 x = 4 x - \frac{5}{6}

Solve for

x, \frac{1}{2} + 3 x = 4 x - \frac{5}{6} : x = \frac{4}{3}

Convert improper fractions to mixed numbers:

\frac{4}{3} = 1 \frac{1}{3}

The number : 1 \frac{1}{3}

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