SOLUTION: the sume of two numbers is 80 and their differnce is 18. FInd the numbers. using algebra

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Question 101364: the sume of two numbers is 80 and their differnce is 18. FInd the numbers.
using algebra
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=one number
And y= the other number
Then
x+y=80-----------------eq1
x-y=18-------------------eq2
Add eq1 and eq2
2x=98 divide both sides by 2
x=49----------------one number
substitute x=49 into eq1
49+y=80 subtract 49 from both sides
y=80-49
y=31-----------------the other number
ck 49+31=80
80=80
and
49-31=18
18=18

Hope this helps----ptaylor