The sum of two numbers is 82. Their difference is 24. Find the two numbers.

(Use the Substitution Strategy)

-Define the variables and write a System of Equations

-Explain answer in a sentence

-Write a paragraph explaining the steps taken to solve the problem. In other words, justify and explain your steps

Ur 2 numbers are represented by x and y

x + y = 82 ... their sum is 82

x - y = 24 ... their difference is 24

too bad u have to use substitution, elimination would have been easier

x + y = 82 ... x = 82 - y ... so sub in 82 - y in for x in the other equation

x - y = 24

82 - y - y = 24

82 - 2y = 24

-2y = 24 - 82

-2y = - 58

y = - 58/-2

y = 29

x + y = 82

x + 29 = 82

x = 82 - 29

x = 53

so ur 2 numbers are 53 and 29