SOLUTION: the sum of 2 numbers is 18. the difference is 10. find the numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the sum of 2 numbers is 18. the difference is 10. find the numbers.       Log On


   

Question 132353: the sum of 2 numbers is 18. the difference is 10. find the numbers.

Found 2 solutions by solver91311, vleith:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
First number: x
Second number: y
The sum of the two numbers: x + y
The difference of two numbers: x - y

So:
x%2By=18
x-y=10

Add the two equations:
2x-0y=28

Divide by the coefficient on x:
x=14

14%2By=18
y=4

One of the numbers is 14, and the other number is 4. Check: The sum of 14 and 4 is 18, and their difference is 10. Answer checks.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=18 Given
a-b=10 Given
Solution steps:
Add the two equations to eliminate b and yield an equation in a alone.
Solve for a.
Replace a in one of the original equations to solve for b
a+b=18
a-b=10
--------
2a = 28
a = 14
14+b=18
b=4
answer 14,4