en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

The sum of the reciprocals of 2 consecutive integers is 23/132 . Find the numbers

Solution

The sum of the reciprocals of 2 consecutive integers is 23/132 . Find the numbers

Solution

The numbers : 11, 12 or - \frac{12}{23}, \frac{11}{23}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

\frac{1}{x} + \frac{1}{x + 1} = \frac{23}{132}

Solve

\frac{1}{x} + \frac{1}{x + 1} = \frac{23}{132} : x = 11, x = - \frac{12}{23}

Plug in

x = 11 : 12

Plug in

x = - \frac{12}{23} : \frac{11}{23}

The numbers : 11, 12 or - \frac{12}{23}, \frac{11}{23}

Popular Examples

An ordinary die is tossed. What is the probability of getting a 3 or a 4?3 decreased by a number Eliana opened a savings account and deposited 3,000.00 as principal. The account earns 10% interest, compounded monthly. What is the balance after 10 years?The radius of a circle is 39 kilometers. What is the circle's circumference?one less that a positive number times three more than that number is 32. What is the number?