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

解

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

解答ステップ

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}

解く

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

挿入

x = 10 : 12

挿入

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

無効

The numbers : 10, 12