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

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) (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 =
:
Plot these two equation, find the intersect

we expect to be dealing with integers here, therefore we can see
x = 13, y = 7
:
Tom is 7, Carol is 13
RELATED QUESTIONS
If you add the square of Tom's age to the age of Mary, the sum is 62; but if you add the... (answered by ikleyn)

Next year Barbara's age will be the difference between Carol's age next year and Sarah's... (answered by ikleyn,josgarithmetic)

If you add the square of Ruben's age to the age of Angelita, the sum is 62; but if yo add (answered by ankor@dixie-net.com)

Answer: Twice the age of Kyle plus the age of Charles is 85 years; but if you... (answered by ewatrrr)

The total age age of Lynn and Carol is 37. Lynn is five years older than Carol. Find... (answered by MathLover1,ikleyn,Alan3354,greenestamps)

Carol is 3 times older than Rick and Jack is 4 years less than twice Rick’s age. If... (answered by josgarithmetic,ikleyn)

Please help. Carol and Tom are twins. Their sister sue is 3 times Tom's age. In 5 years... (answered by ewatrrr)

The sum of Anji's age and Carol's age is 66. Carol's age is 2 more than 3 times Anji's... (answered by josmiceli)

the sum of bob's age and carol's age is 66. Carol's age is 2 more than 3 times bob's age. (answered by lwsshak3)