en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

One positive integer is 5 less than twice another. The sum of their squares is 325. Find the integers.

Solution

One positive integer is 5 less than twice another. The sum of their squares is 325. Find the integers.

Solution

The numbers : 15, 10

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 y - 5

x^{2} + y^{2} = 325

Solve the system of equations:

x = 2 y - 5, x^{2} + y^{2} = 325 : (x = 15, x = - 17, y = 10 y = - 6)

Select positive solutions:

10, 15

The numbers : 15, 10

Popular Examples

If a circle has a circumference of 13cm, what is its exact diameter?A square field has an area of 4,900 square meters. What is the length of the field?six more than the product of a number and 7 is equal to 3 number recta 2/3 , 5/3 The sum of two numbers is 36 . The larger number is 16 more than the smaller number. What are the numbers?