Solve the problem.
-Two numbers total 8, and their difference is 16. Find the two numbers.
A) 4 and - 12
B) 8 and 2
C) 12 and - 4
D) 5 and 3

Question

Quizplus · Accepted Answer

Let's call the two numbers x and y. We know that:
x + y = 8  (since the two numbers total 8)
x - y = 16  (since their difference is 16)
Now we can use elimination to solve for one of the variables:
(x + y) + (x - y) = 8 + 16
2x = 24
x = 12
We can substitute this value back into either equation to solve for y:
x + y = 8
12 + y = 8
y = -4
So the two numbers are 12 and -4, which is answer choice C. Let's call the two numbers x and y. We know that:
x + y = 8  (since the two numbers total 8)
x - y = 16  (since their difference is 16)
Now we can solve for x and y by adding these two equations:
(x + y) + (x - y) = 8 + 16
2x = 24
x = 12
We can substitute this value of x into one of the original equations to solve for y:
x + y = 8
12 + y = 8
y = -4
So the two numbers are 12 and -4, which is answer choice C.

Solve the Problem. -Two Numbers Total 8, and Their Difference Is 16. Find