SOLUTION: The sum of two positive integers is 25. The diffence of their squares is 275. Find the two integers.

Algebra ->  Rational-functions -> SOLUTION: The sum of two positive integers is 25. The diffence of their squares is 275. Find the two integers.      Log On


   

Question 37808: The sum of two positive integers is 25. The diffence of their squares is 275. Find the two integers.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the integers be x and y
x+y=25
y=25-x (subsitution)
x%5E2-y%5E2=275
Subsitute for y:
x%5E2-%2825-x%29%5E2=275
x%5E2-%28625%2Bx%5E2-50x%29=275
50x-900=0
x=18
y=25-18
y=7
Hence, the two integers are 18 and 7.
Paul.