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Popular Word Problems >

The sum of a positive number and 22 is 48 times the reciprocal of the number. Find the number

Solution

T h e s u m o f a p os i t i v e n u mb er an d 22 i s 48 t im es 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

Solution

The number : 2

Solution steps

Represent the number with

x

A.T.Q.:

x + 22 = 48 \cdot \frac{1}{x}

Solve for

x, x + 22 = 48 \cdot \frac{1}{x} : x = 2, x = - 24

Select positive solutions:

2

The number : 2

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