Answer:
The numbers are 7 and 9.
Explanation:
Let's call the numbers a and b.
We know their difference is 2: a-b=2
We know their sum is 16: a+b=16
Let's take the first expression and isolate a:
a-b=2
a-b+b=2+b
a=2+b
Know let's sub in this value for a into the second expression to find a value for b:
a+b=16
2+b+b=16
2+2b=16
2b=14
b=7
We know a=2+b, and b=7, so a=2+7=9
This means the numbers are 7 and 9.