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Popular Word Problems >

A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/18. Find the two integers.

Solution

A p os i t i v e in t e g er i s tw i ce an o t h er . T h e d i ff ere n ce o f t h e rec i p roc a l s o f t h e tw o p os i t i v e in t e g ers i s 1/18. F in d t h e tw o in t e g ers .

Solution

No Solution

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 y

\frac{1}{x} - \frac{1}{y} = \frac{1}{18}

x = 2 y, \frac{1}{x} - \frac{1}{y} = \frac{1}{18} : x = - 18, y = - 9

Select positive solutions:

No Solution

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