Answer:
The numbers are 61 and 54.
Step-by-step explanation:
Let the numbers be x and y.
Their sum is 115:
x + y = 115
Their difference is 7:
x - y = 7
We have a system of two equations in two unknowns.
x + y = 115
x - y = 7
Add the equations to eliminate y, and solve for x.
2x = 122
x = 61
Now replace x in the first equation with 61 and solve for y.
x + y = 115
61 + y = 115
Subtract 61 from both sides.
y = 54
Answer: The numbers are 61 and 54.
