en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

The sum of the squares of two consecutive positive integers is 85 . Find the numbers.

Solution

T h e s u m o f t h e s q u a res o f tw o co n sec u t i v e p os i t i v e in t e g ers i s 85 . F in d t h e n u mb ers .

Solution

The numbers : 6, 7

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x^{2} + (x + 1)^{2} = 85

Solve

x^{2} + (x + 1)^{2} = 85 : x = 6, x = - 7

Select positive solutions:

6

x + 1 = 6 + 1 = 7

The numbers : 6, 7

Popular Examples

when a number is added to itself the result is 72. find the number The sum of three consecutive numbers is 576. What is the 2nd number?One number is 3 less than another number. If the sum of the two numbers is 177, find each number.The sum of three numbers is 66 . The second number is 2 times the third. The third number is 6 less than the first. What are the numbers?six times the recipocal of a number equals 2 times the recipocal of 3. Find the number