The sum of two numbers is 45 the difference is 17 what are the numbers

X+y=45
X-y=17 let's make this equation x= form
X+y=45
X=y+17
Plug in x into first equation
Y+17+y=45
2y+17=45
2y=28
Y=14

Plug into any equation to figure out x
X+y=45
X+14=45
X=31

Y=14 and x=31

You can check if these are right by plugging into the other equation

X-y=17
31-14=17
17=17
The numbers are correct:) hope that helps