SOLUTION: the sum of two numbers is 45. the difference of their squares is 675.Find the number.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the sum of two numbers is 45. the difference of their squares is 675.Find the number.      Log On


   



Question 697356: the sum of two numbers is 45. the difference of their squares is 675.Find the number.
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=45
y=45-x
x^2-y^2=675
x^2-(45-x)^2=675
x^2-(2025+x^2-630)=675
630x=-720
x=20
y=45-20
y=25
20,25