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Popular Word Problems >

the sum of a number and 4 times its reciprocal is 13/3 . find the number.

Solution

t h e s u m o f a n u mb er an d 4 t im es i t s rec i p roc a l i s \frac{13}{3} . f in d t h e n u mb er .

Solution

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

Solution steps

Represent the number with

x

A.T.Q.:

x + 4 \cdot \frac{1}{x} = \frac{13}{3}

Solve for

x, x + 4 \cdot \frac{1}{x} = \frac{13}{3} : x = 3, x = \frac{4}{3}

Convert improper fractions to mixed numbers:

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

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

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