Answer:
The two numbers are 11 and 6
Step-by-step explanation:
Lets 2 numbers are x and y
The sum of two numbers is 17: x + y = 17
The different is 5 :x - y = 5
Now you have 2 equations
x + y = 17
x - y = 5
-------------------Subtract
2x = 22
x = 11
Substitute x = 11 into one of the equations above to find y
x - y = 5
11 - y = 5
y = 11 - 5
y = 6
The two numbers are 11 and 6