Solve the problem.
-Two numbers total 10, and their difference is 16. Find the two numbers.
A)6 and 4
B)10 and 2
C)13 and - 3
D)5 and - 11

Question

Quizplus · Accepted Answer

Let's call the two numbers x and y. We know that x + y = 10 and x - y = 16. We can solve for x and y by adding the two equations together:

(x + y) + (x - y) = 10 + 16

2x = 26

x = 13

Now that we know x, we can substitute it into one of the original equations to solve for y:

13 + y = 10

y = -3

Therefore, the two numbers are 13 and -3, which is choice C. Let x be one of the numbers. Then the other number is 10-x. We can set up the equation x-(10-x) = 16 and solve for x: x-10+x = 16, 2x = 26, x = 13. Therefore, the two numbers are 13 and -3, which is choice C.

Solve the Problem. -Two Numbers Total 10, and Their Difference Is 16. Find