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?

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) (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.
:
= 6591
= 6591
=
y = , 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

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