SOLUTION: The sum of two numbers is 19, and their difference is 55. What are the two numbers? Thanks so much!!!

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Question 539598: The sum of two numbers is 19, and their difference is 55. What are the two numbers?
Thanks so much!!!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be x and other y
1 x + 1 y = 19 .............1
1 x -1 y = 55 .............2
Eliminate y
multiply (1)by 1
Multiply (2) by 1
1 x 1 y = 19
1 x + -1 y = 55
Add the two equations
2 x = 74
/ 2
x = 37
plug value of x in (1)
1 x + 1 y = 19
37 + 1 y = 19
1 y = 19 -37
1 y = -18
y = -18
37& -18
m.ananth@hotmail.ca