SOLUTION: The difference of two numbers is 3. Their sum is 13. Find the numbers

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Question 731504: The difference of two numbers is 3. Their sum is 13. Find the numbers
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let two numbers be x and y
if their sum is 13 we have
x%2By=13.....eq. 1
and if their difference is 3 we have
x-y=3.....eq. 2
solve the system:
x%2By=13.....eq. 1
x-y=3.....eq. 2
_______________________
x%2By=13.....eq. 1...solve fo y
y=13-x.......substitute in eq. 2
x-%2813-x%29=3.....eq. 2.....solve fo x
x-13%2Bx=3
2x=3%2B13
2x=16
x=16%2F2
highlight%28x=8%29
now find y
y=13-x
y=13-8
highlight%28y=5%29