Question 304078: the sum of the ages of two sisters is 21.
the sum of the squares of their ages is 233.
what are the two ages?
Their ages can be represented by x and y.
x^2+y^2=233 Answer by mananth(12270) (Show Source):
You can put this solution on YOUR website! x+y=21
x^2+y^2+2xy = 233+2xy
(x+y)^2 = 233+2xy
21^2= 233 +2xy
104 = xy
x^2+104 / x = 21
x=8 Or x=13
the ages are 8 and 13