Question 497521
If you add the square of Ruben's age to the age of Angelita, the sum is 62;
 but if you add the square of Angelita's age to the age of Ruben, the sum is 176.
 Can you say what the ages of Ruben and Angelita are? 
:
Write an equation for each statement that can be entered into a graphing calc:
r^2 + a =  62
a = -r^2 + 62
Enter y1 = -x^2 + 62
and
r + a^2 = 176
a^2 = -r + 176
a = {{{sqrt(-r+176)}}}
y2 = {{{sqrt(-x+176)}}}
:
Should look like this:
{{{ graph( 300, 200, -2, 10, -4, 20, -x^2+62, sqrt(-x+176))}}}
Intersection at x=7, y=13
:
therefore a=7, y=13, checks out in the original statements