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Popular Word Problems >

The sum of two numbers is 9 , and the difference of the numbers is 1 . Write a system of equations to represent this situation. Then solve the system to find the numbers.

Solution

T h e s u m o f tw o n u mb ers i s 9, an d t h e d i ff ere n ce o f t h e n u mb ers i s 1 . W r i t e a sys t e m o f e q u a t i o n s t o re p rese n t t hi s s i t u a t i o n . T h e n so l v e t h e sys t e m t o f in d t h e n u mb ers .

Solution

The numbers : 5, 4

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 9

x - y = 1

x + y = 9, x - y = 1 : x = 5, y = 4

The numbers : 5, 4

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