Solve the problem.
-The sum of two numbers is 34 and their difference is 8. Find the numbers.
A)15 and 23
B)21 and 13
C)27 and 7
D)19 and 15

Question

Quizplus · Accepted Answer

Let's call the two numbers x and y. We know that x + y = 34 and x - y = 8. If we add these two equations, we get:
x + y + x - y = 34 + 8
2x = 42
x = 21
Now that we know x = 21, we can substitute this value into either equation to solve for y:
21 + y = 34
y = 13
Therefore, the two numbers are 21 and 13, which is answer choice B. Let's call the two numbers "x" and "y". We know that:
x + y = 34 (since the sum of the two numbers is 34)
x - y = 8 (since the difference of the two numbers is 8)
Now we can use these two equations to solve for x and y. One way to do this is to add the two equations together:
(x + y) + (x - y) = 34 + 8
2x = 42
x = 21
Now that we know x is 21, we can plug that into either equation to solve for y:
21 + y = 34
y = 13
So the two numbers are 21 and 13, which is answer choice B.

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