Solve the problem using the elimination method.
-The sum of two numbers is 41 . The larger number minus the smaller number is 9 . What are the numbers?
A) 18 and 27
B) 25 and 16
C) 33 and 8
D) 23 and 18

Question

Quizplus · Accepted Answer

Let x be the smaller number and y be the larger number.

From the problem, we have the system of equations:

x + y = 41   (Equation 1)
y - x = 9     (Equation 2)

To use the elimination method, we can add Equation 1 and Equation 2 to eliminate x:

x + y + y - x = 41 + 9

Simplifying, we get:

2y = 50
y = 25

Substituting y = 25 into Equation 1, we get:

x + 25 = 41
x = 16

Therefore, the two numbers are 16 and 25. So, the best choice is B.

Solve the Problem Using the Elimination Method