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Popular >

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

Solution

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

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}

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