The sum of two numbers is 84. The difference of the two numbers is 72. What are the two numbers

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The sum of two numbers is 84. The difference of the two numbers is 72. What are the two numbers.

Let xx be the larger number and yy be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 84."   


Write an equation that expresses the information in the sentence "The difference of the two numbers is 72."   


Solve the system you have written above.


The larger number, xx is . The smaller number, yy is .

Expert Solution
Step 1

Let larger value is x

Smaller value is y 

Since sum of these two numbers is 84

That implies x+y = 84          

And difference of these two numbers is 72 

That implies x-y = 72

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