Answer:
10 and 1
Step-by-step explanation:
Let x and y represent the two numbers. The problem statement lets us write two equations describing their relationships:
x + y = 11
x - y = 9
Adding these equations together, we have ...
(x +y) +(x -y) = (11) +(9)
2x = 20
x = 10 . . . . . . . . . you will notice this is the average of the two given numbers
Then ...
10 + y = 11 . . . . substitute for x in the first equation
y = 1 . . . . . . . subtract 10
The two numbers are 10 and 1.
