Answer:
The numbers are 4 and 7
Step-by-step explanation:
To start, we can set up two equations.
x + y = 11 and x - y = 3
We now need to solve for one of these variables in terms of the other. I am choosing to solve for x, but either way will work. I'm using the second equation and solving for x by adding y to each side, which gives me
x = 3 + y
Now that I have a value for x, I can plug this into my first equation
3 + y + y = 11
Combining like terms gives me
3 + 2y = 11
Subtracting 3 from both sides leaves
2y = 8
And dividing by 2 to solve for y gets
y = 4
We now know one number, and to solve for the other we can plug our y value into either equation
x + 4 = 11
Subtracting 4 from both sides yields the x value
x = 7
So the two numbers are 4 and 7
