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Popular Word Problems >

One-third of a number, decreases by its reciprocal is equal to eleven divided by that number. What is the number?

Solution

O n e - t hi r d o f a n u mb er, d ecre a ses b y i t s rec i p roc a l i s e q u a l t o e l e v e n d i v i d e d b y t ha t n u mb er . Wha t i s t h e n u mb er ?

Solution

The number : 6 or - 6

Solution steps

Represent the number with

x

A.T.Q.:

\frac{1}{3} x - \frac{1}{x} = \frac{11}{x}

Solve for

x, \frac{1}{3} x - \frac{1}{x} = \frac{11}{x} : x = 6, x = - 6

The number : 6 or - 6

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