Question in Description

Question

The difference between two integers is 12, and their sum is 132. What are the two integers?

Answer 1

x and x+12 or x and x-12 are the integers

x+x+12=132

2x+12=132

2x=132-12

2x=120

x=60

x+12=72

 

or...

132/2=66

66-6=60 and 66+6=72

Answer 2

Hi, Shatoria,

    You have a system of equations here:    "Difference" means to subtract.  "Is" means equal.  "Sum" means add.

Let X= one number                          let Y= the other number

 

 X-Y = 12           You have a "-Y" and a "+Y," so just add the two equations together to eliminate one variable (Y).

X+Y=132

2X   = 144             Divide both sides of the equation by the number next to "X," and you'll have X=________.

 

Next, substitute the value for "X" into one of the equations to find the value for "Y," and you are done.

However, it would be nice if you checked your work by substituting the values for "X" and for "Y" into both equations to see if you get 12=12 and 132=132, which are true statements making the "X" and "Y" values correct.

 

If I have helped you, please give me a thumbs up.

                                                 Susan C.