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Popular Word Problems >

The reciprocal of five less than a number is twice the reciprocal of the number. Find the number. Enter your answer as an integer or a reduced fraction. Do not use decimals.

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 tw i ce t h e rec i p roc a l o f t h e n u mb er . F in d t h e n u mb er . E n t er yo u r an s w er a s an in t e g er or a re d u ce d f r a c t i o n . Do n o t u se d ec ima l s .

Solution

The number : 10

Solution steps

Represent the number with

x

A.T.Q.:

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

Solve for

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

The number : 10

Popular Examples

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