SOLUTION: A person has 7 children including 2 sets of triplets. the product of the kids ages is 6591. what is the sum of their ages?

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Question 573675: A person has 7 children including 2 sets of triplets. the product of the kids ages is 6591. what is the sum of their ages?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A person has 7 children including 2 sets of triplets. the product of the kids ages is 6591.
:
Let x = the single child
let y = the one set of triplets
Let z = the other set of triplets
:
In order to make this manageable, assume that one set of triplets is 1 yrs old.
:
x%2Ay%5E3%2A1%5E3 = 6591
x%2Ay%5E3 = 6591
y%5E3 = 6591%2Fx
y = 3sqrt%286591%2Fx%29, that's cube root
Only one integer solution to this equation (the table of y=, in a ti-83)
x = 3
y = 13
:
3 * 13^3 * 1^3 = 6591
"
"what is the sum of their ages?"
3 + 13 + 13 + 13 + 1 + 1 + 1 = 45