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Popular Word Problems >

The reciprocal of five less than a number is 4 times the reciprocal of twice the number. Find the number.

Solution

T h e rec i p roc a l o f f i v e l ess t han a n u mb er i s 4 t im es t h e rec i p roc a l o f tw i ce t h e n u mb er . F in d t h e n u mb er .

Solution

The number : 10

Solution steps

Represent the number with

x

A.T.Q.:

\frac{1}{x - 5} = 4 \cdot \frac{1}{2 x}

Solve for

x, \frac{1}{x - 5} = 4 \cdot \frac{1}{2 x} : x = 10

The number : 10

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