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

Solution

Solution

The number : 5

Solution steps

Represent the number with

x

A.T.Q.:

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

Solve for

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

The number : 5

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