SOLUTION: The sum of two numbers is 39. Their difference is 7. What are the two numbers? Show both equations and your method for solving as well as the solution.

Question 113302: The sum of two numbers is 39. Their difference is 7. What are the two numbers? Show both equations and your method for solving as well as the solution.

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=one number
And y=the other
Now we are told the following:
x+y=39------------------eq1
x-y=7----------------------eq2
Add eq1 and eq2
2x=46 divide both sides by 2
x=23 one number
substitute x=23 into eq1
23+y=39 subtract 23 from both sides
23-23+y=39-23 collect like terms
y=16 the other number
ANOTHER WAY:
Let x=one number
Then 39-x=the other number

Now we are told that:
(39-x)-x=7
39-2x=7 subtract 39 from both sides
-2x=7-39 collect like terms
-2x=-32 divide both sides by -2
x=16---one number
39-x=39-16=23----------the other number
CK
16+23=39
39=39
and
23-16=7
7=7

Hope this helps----ptaylor

RELATED QUESTIONS
The sum of two numbers is 39 and their difference is 7. What are the... (answered by ptaylor)

The sum of two numbers is 39 and their difference is 7. What are the... (answered by checkley71)

The sum of two numbers is 39. Their difference is 11. What are the two... (answered by consc198)

The sum of two numbers is 29. Their difference is 7. What are the two... (answered by uma)

The sum of two numbers is 29. Their difference is 7. What are the two... (answered by checkley71)

The sum of two numbers is 33. Their difference is 7. What are the two... (answered by checkley71)

The sum of two numbers is 29. Their difference is 7. What are the two... (answered by SHUgrad05)

The sum of two numbers is 29. Their difference is 7. What are the two... (answered by gems,jim_thompson5910)

Two numbers have a sum of 39. Their difference is 11. What are the two numbers. Please... (answered by askmemath)