SOLUTION: If you add the square of Ruben's age to the age of Angelita, the sum is 62; but if yo add the square of Angelita's age to the age of Ruben, the sum is 176. Can you say what the ag

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: If you add the square of Ruben's age to the age of Angelita, the sum is 62; but if yo add the square of Angelita's age to the age of Ruben, the sum is 176. Can you say what the ag      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 497521: If you add the square of Ruben's age to the age of Angelita, the sum is 62; but if yo 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?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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%28-r%2B176%29
y2 = sqrt%28-x%2B176%29
:
Should look like this:
+graph%28+300%2C+200%2C+-2%2C+10%2C+-4%2C+20%2C+-x%5E2%2B62%2C+sqrt%28-x%2B176%29%29
Intersection at x=7, y=13
:
therefore a=7, y=13, checks out in the original statements