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Popular Word Problems >

One number is 6 times as large as another. The sum of their reciprocals is 49/6. Find the two numbers.

Solution

O n e n u mb er i s 6 t im es a s l a r g e a s an o t h er . T h e s u m o f t h e i r rec i p roc a l s i s 49/6. F in d t h e tw o n u mb ers .

Solution

The numbers : \frac{6}{7}, \frac{1}{7}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 6 y

\frac{1}{x} + \frac{1}{y} = \frac{49}{6}

x = 6 y, \frac{1}{x} + \frac{1}{y} = \frac{49}{6} : x = \frac{6}{7}, y = \frac{1}{7}

The numbers : \frac{6}{7}, \frac{1}{7}

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