SOLUTION: The sum of two numbers is 25, and the difference of their squares is 75. What are the two numbers?

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Question 40561: The sum of two numbers is 25, and the difference of their squares is 75. What are the two numbers?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be x
Let another number be y
x+y=25
y=25-x (SUBSITUTION)
EQUATION:
x%5E2-y%5E2=75
Sub for y:
x%5E2-%2825-x%29%5E2=75
x%5E2-%28625%2Bx%5E2-50x%29=75
50x=700
x=14
y=25-14
y=11
Hence, the two numbers are 14 and 11.
Paul.