Answer:Let's call the two numbers we are trying to find "x" and "y".
We know that the sum of these two numbers is 16, so we can write the equation:
x + y = 16
We also know that the difference between these two numbers is 27, so we can write the equation:
x - y = 27
Now we have two equations and two unknowns. We can use substitution or elimination to solve for x and y.
Using the substitution method, we can solve for y in the first equation:
y = 16 - x
Now we can substitute this expression for y into the second equation:
x - (16 - x) = 27
Simplifying this equation, we get:
2x - 16 = 27
Adding 16 to both sides, we get:
2x = 43
Dividing both sides by 2, we get:
x = 21.5
Now we can substitute this value for x into either of the original equations to solve for y:
y = 16 - x = 16 - 21.5 = -5.5
So the two numbers are 21.5 and -5.5.
Explanation: