Answer:
Larger number: 39
Smaller number: 19
Explanation:
Write two equations and solve the system of equations.
One number can be x. The other number can be y.
"sum" means adding.
x + y = 58
"difference" means subtracting.
x - y = 20
Take both equations, stack them and add them together from the top down.
x + y = 58
x - y = 20
_________
2x = 78
Divide by 2
x = 39
Use either original equation to find the other number.
x + y = 58
39 + y = 58
subtract 39
y = 19
The bigger number is 39 and the smaller number is 19.