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Popular Word Problems >

The sum of the reciprocals of 2 consecutive even integers is 11/60 . Find the numbers.

Solution

T h e s u m o f t h e rec i p roc a l s o f 2 co n sec u t i v e e v e n in t e g ers i s \frac{11}{60} . F in d t h e n u mb ers .

Solution

The numbers : 10, 12

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

\frac{1}{x} + \frac{1}{x + 2} = \frac{11}{60}

Solve

\frac{1}{x} + \frac{1}{x + 2} = \frac{11}{60} : x = 10, x = - \frac{12}{11}

Plug in

x = 10 : 12

Plug in

x = - \frac{12}{11} :

Invalid

The numbers : 10, 12

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