SOLUTION: can you please help me find two numbers whose sum is 63 and whose difference is 5

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Question 189586: can you please help me find two numbers whose sum is 63 and whose difference is 5
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
can you please help me find two numbers whose sum is 63 and whose difference is 5
.
Let x = 1st number
and y = 2nd number
.
x + y = 63
x - y = 5
.
Solving the bottom equation for x:
x - y = 5
x = 5 + y
.
Substitute the above into the top equation and solve for y:
x + y = 63
5 + y + y = 63
5 + 2y = 63
2y = 58
y = 29
.
Substitute the above into bottom equation and solve for x:
x - y = 5
x - 29 = 5
x = 34
.
Your two numbers are 29 and 34