SOLUTION: If you add the sqaure of tom's age to the age of carol, the sum is 62; but if you add the square of Carol's age to the age of Tom, the result is 176. Determine the age of tom and

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: If you add the sqaure of tom's age to the age of carol, the sum is 62; but if you add the square of Carol's age to the age of Tom, the result is 176. Determine the age of tom and      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 684595: If you add the sqaure of tom's age to the age of carol, the sum is 62; but if you add the square of Carol's age to the age of Tom, the result is 176. Determine the age of tom and carol.
I tried
Tom's age Sq.Rt of T + C = 62
Carol's age Sq.Rt of C + T = 176
how do I solve this?
Thanks

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 tom's age to the age of carol, the sum is 62;
but if you add the square of Carol's age to the age of Tom, the result is 176.
Determine the age of tom and carol.
:
Here is a situation where graphing would be the easiest way to solve this
Let x = Carols age
Let y = Tom's age
:
Write a slope intercept equation for each
x^2 + y = 176
y = 176 - x^3
and
x + y^2 = 62
y = sqrt%2862-x%29
:
Plot these two equation, find the intersect
+graph%28+300%2C+200%2C+-6%2C+20%2C+-5%2C+10%2C+176-x%5E2%2C+sqrt%2862-x%29%29+
we expect to be dealing with integers here, therefore we can see
x = 13, y = 7
:
Tom is 7, Carol is 13