SOLUTION: The sum of two numbers is 50 and the sum of their squares is 2050 .what are the numbers?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The sum of two numbers is 50 and the sum of their squares is 2050 .what are the numbers?       Log On


   

Question 257628: The sum of two numbers is 50 and the sum of their squares is 2050 .what are the numbers?
Answer by shahbazn(6) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be x. other number = (50-x)
x^2=(50-x)^2 = 2050
x^2+2500-100x+x^2 = 2050
2x^2-100x+2500-2050=0
2x2-100x+450=0
x^2-50x+225=0 225=5*5*3*3
(x-5)(x-450=0 225=5*45
x=5 or 45
smaller number = 5
larger number =45