Math Word Problem
posted by Carmin .
An area, A, consisting of the sum of two squares is 1000. The side of one square is 10 less than 2/3 of the side of the other square. What are the sides of the squares?

Let x,y be the side of each of the squares.
x^{2} + y^{2} = 1000
y=(2/3)x10
substitute (2/3)x10 for y in the first equation:
x^{2} + ((2/3)x10)^{2} = 1000
Expand and solve for the quadratic equation to get x=30 or x=270/13.
Reject second solution to get x=30, y=10