SOLUTION: The sum of two numbers is 19, their difference is 5,find the number

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Question 706803: The sum of two numbers is 19, their difference is 5,find the number
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 19, their difference is 5,find the number
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q + r = 19
q - r = 5
-------------- Add

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let numbers be x and y
if the sum of two numbers is 19, we have x%2By=19..eq.1

if their difference is 5, we have x-y=5.....eq.2
to find the number, solve this system:
x%2By=19..eq.1
x-y=5.....eq.2
________________________
x%2By=19..eq.1..solve for x
x=19-y....eq.1a....substitute in eq.2

19-y-y=5.....eq.2...solve for y
19-2y=5

19-5=2y
14=2y
14%2F2=y
7=y or
highlight%28y=7%29

go back to eq. 1a and find x
x=19-y....eq.1a
x=19-7
highlight%28x=12%29