SOLUTION: The product of the ages of Ali’s children is 24. If Ali has 3 children and the eldest started school (playgroup) last year, what are the ages of his children?

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Question 1108925: The product of the ages of Ali’s children is 24. If Ali has 3 children and the eldest
started school (playgroup) last year, what are the ages of his children?
Found 2 solutions by math_helper, Edwin McCravy:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
24 = 1*2*2*2*3
Possible integer solutions:
(1) {2, 3, 4 }
(2) { 1, 4, 6 }
(3) { 1, 3, 8 }
etc.
Based on the eldest starting playgroup/school (which I interpret as "pre-school"), the most likely solution is
{2,3,4}
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
He took it to be play school, but that's not 'real' school.
So I took it to be real school:

Their ages could be: 

1,1, and 24   <--ruled out, eldest too old to start school.
1,2, and 12   <--ruled out, eldest too old to start school.
1,3, and  8   <--ruled out, eldest too old to start school.
1,4, and  6   <--possible, kids usually start school at 6. 
2,2, and  6   <--possible, kids usually start school at 6. 
               Nothing says the younger two can't be twins.
2,3, and  4   <--ruled out, eldest too young to start school.

So there are two possible answers.  1,4 and 6 and 2,2,and 6.

Edwin
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