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Popular Word Problems >

the sum of a number and 5 times its reciprocal is 54/7 find the number

Solution

t h e s u m o f a n u mb er an d 5 t im es i t s rec i p roc a l i s \frac{54}{7} f in d t h e n u mb er

Solution

The number : 7 or \frac{5}{7}

Solution steps

Represent the number with

x

A.T.Q.:

x + 5 \cdot \frac{1}{x} = \frac{54}{7}

Solve for

x, x + 5 \cdot \frac{1}{x} = \frac{54}{7} : x = 7, x = \frac{5}{7}

The number : 7 or \frac{5}{7}

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