Solve the problem using the elimination method.
-The sum of two numbers is 28. The larger number minus the smaller number is 8. What are the numbers?
A)16 and 12
B)21 and 7
C)18 and 10
D)12 and 20

Question

Quizplus · Accepted Answer

Let x be the smaller number and y be the larger number. We have:
x + y = 28 (equation 1)
y - x = 8 (equation 2)
We can add equation 1 and equation 2 to eliminate x:
(x + y) + (y - x) = 28 + 8
2y = 36
y = 18
Substituting y = 18 into equation 1, we get:
x + 18 = 28
x = 10
Therefore, the numbers are 10 and 18, and the best choice is C.

Solve the Problem Using the Elimination Method