Solve the problem.
-The sum of two numbers is 34 and their difference is 12. Find the numbers.
A)23 and 11
B)25 and 37
C)9 and 25
D)11 and 23

Question

Quizplus · Accepted Answer

Let's call the two numbers x and y. We know that:
x + y = 34 (the sum of two numbers is 34)
x - y = 12 (the difference between the two numbers is 12)
We can solve for x by adding these two equations together:
2x = 46
x = 23
Now we can substitute x = 23 into either equation to find y:
23 + y = 34
y = 11
So the two numbers are 23 and 11, which corresponds to choice D.

Solve the Problem. -The Sum of Two Numbers Is 34 and Their Difference