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Popular Word Problems >

ten times the reciprocal of a number equals 5 times the reciprocal of 10

Solution

t e n t im es t h e rec i p roc a l o f a n u mb er e q u a l s 5 t im es t h e rec i p roc a l o f 10

Solution

The number : 20

Solution steps

Represent the number with

x

A.T.Q.:

10 \cdot \frac{1}{x} = 5 \cdot \frac{1}{10}

Solve for

x, 10 \cdot \frac{1}{x} = 5 \cdot \frac{1}{10} : x = 20

The number : 20

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