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شائع Word Problems >

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

الحلّ

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 .

الحلّ

The numbers : 10, 12

خطوات الحلّ

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}

حلّ:

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

x = 10

استبدل:

12

x = - \frac{12}{11}

استبدل:

Invalid

The numbers : 10, 12

أمثلة شائعة

how much greater index is 4237 and 4186 five less than four times a number is fifteen Ben opened a savings account and deposited 400.00 as principal. The account earns 12% interest, compounded quarterly. What is the balance after 2 years?There are three consecutive odd integers. Three times the largest one is seven times the smallest one. What are the integers? smallest one: middle one: largest one:55% of what number is 253?