SOLUTION: The sum of two numbers is 43. The difference of the same two numbers is 12. What are the two numbers?

Question 251790: The sum of two numbers is 43. The difference of the same two numbers is 12. What are the two numbers?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Let x + y = 43.
So,
x = 43-y and
y = 43-x
.
x - y = 12
So,
(43-y) -y = 12
43 -2y = 12
-2y = -31
y = -31/-2 = 15.5
.
x + y = 43
x + 15.5 = 43
x = 43 - 15.5 = 27.5
.
Is the sum 43?
x = 27.5
y = 15.5
x + y = 43
Yes!
.
Is the difference 12?
x = 27.5
y = 15.5
x - y = 12
Yes!
.
So the answer is:
The two numbers are 15.5 and 27.5.
.
Done.
RELATED QUESTIONS
The sum of two numbers is 43 and the difference is 11 . What are the... (answered by stanbon)

The sum of two numbers is 36. their difference is 12. What are the two... (answered by elima)

The sum of two numbers is 38. Their difference is 12. What are the two... (answered by ptaylor)

The sum of two numbers is -44. Their difference is 12. What are the two... (answered by anand429)

two numbers their sum is 43 and their product is 405 . what are the difference of this... (answered by Alan3354)

the difference of two numbers is 43 and the sum of those two numbers equals 13. what are... (answered by Alan3354)

the sum of two numbers is 54 and the difference is 12. what are the numbers? (answered by tommyt3rd)

the sum of two numbers is 80 their difference is 12. what are the numbers (answered by fractalier)

The sum of two whole numbers is 112. Their difference is 12. What are the numbers? (answered by richwmiller)