We can define two variables:
x = large number
y = small number
Now, set up a system of equations:
Solve the system. I'm going to use the second equation to substitute 'x' into the first one (x = 4y):
Plug that back into 2nd equation to find both numbers:
So, x = 36 and y = 9.
We can check. 36 + 9 actually does equal 45 and 4 times 9 is 36. We match our initial criteria, so our answer is right.
x = large number
y = small number
Now, set up a system of equations:
Solve the system. I'm going to use the second equation to substitute 'x' into the first one (x = 4y):
Plug that back into 2nd equation to find both numbers:
So, x = 36 and y = 9.
We can check. 36 + 9 actually does equal 45 and 4 times 9 is 36. We match our initial criteria, so our answer is right.