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

해법

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 .

The numbers : 10, 12

솔루션 단계

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}

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

해결 :

x = 10, x = - \frac{12}{11}

x = 10

끼우다 :

12

x = - \frac{12}{11}

끼우다 :

무효한

The numbers : 10, 12