SOLUTION: The problem: Find two numbers whose sum is 44 and whose difference is 22 I already know the answer - I had no problem figuring it out. What I need to see is the proper way to so

Algebra ->  Equations -> SOLUTION: The problem: Find two numbers whose sum is 44 and whose difference is 22 I already know the answer - I had no problem figuring it out. What I need to see is the proper way to so      Log On


   

Question 110684: The problem: Find two numbers whose sum is 44 and whose difference is 22
I already know the answer - I had no problem figuring it out. What I need to see is the proper way to solve it. I got the answers 33 and 11. This is how I started it:
x + y = 44
x - y = 22
x = 22 + y and x = 44 - y .....what next? I plugged numbers in until I found the answer but there must be an easier way?
Found 2 solutions by Earlsdon, solver91311:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Yes there is!
Your starting work is immpecable!
x%2By+=+44
x-y+=+22 Now just add these two equations:
--------------
2x+=+66 so...
x+=+33
Now for y...
x-y+=+22
33-y+=+22
y+=+11

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You are right on track.
:
x+%2B+y+=+44
x-y=22
:
x=y%2B22, and you can substitute this value of x into the first equation, thus:
:
y%2B22%2By=44, and solve
2y%2B22=44
2y=22
y=11
:
Then, knowing that y=11, go back and substitute that value into either equation:
:
x-11=22
x=33
:
Hope that helps.