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Popular Word Problems >

twice the reciprocal of a number subtracted from 4 is equal to 3. find the number

Solution

tw i ce t h e rec i p roc a l o f a n u mb er s u b t r a c t e d f ro m 4 i s e q u a l t o 3. f in d t h e n u mb er

Solution

The number : 3 \frac{1}{3}

Solution steps

Represent the number with

x

A.T.Q.:

2 \cdot \frac{1}{4 - x} = 3

Solve for

x, 2 \cdot \frac{1}{4 - x} = 3 : x = \frac{10}{3}

Convert improper fractions to mixed numbers:

\frac{10}{3} = 3 \frac{1}{3}

The number : 3 \frac{1}{3}

Popular Examples

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