Question 752820
We set up equations first lets assume larger number is x and smaller number is y.

x+y=45
x-4=y+7
x-y=11

x+y=45
x-y=11

we use elimination method hence we add both equations and eliminate y

2x=56
x=56/2
x=28

next we plug x in any equation and solve for y .

x+y=45
28+y=45
y=17

Hence numbers are 28 and 17.