SOLUTION: Mr. Hilbert loves word problems and puzzles, so when a U.S census person came to his door looking for information on the make-up of of his family, the following ensued. Census Per

Question 53132: Mr. Hilbert loves word problems and puzzles, so when a U.S census person came to his door looking for information on the make-up of of his family, the following ensued.
Census Person: How many children do you have
Mr. Hilbert: 3
Census person: and what are their ages
Mr. Hilbert: the product of their ages is 72
census person: that's not enough info
Mr. Hilbert: Ok the sum of their ages is the same number on my house
Census person: that's still not enough info.
Mr Hibert: You may find it helpful to know my oldest child likes chocolate pudding.
Census Person: Yes, now I have the ages of your kids
1- Write every combination of numbers whose product is 72-there should be 12-I only found like 6.
2-Find the sum of each combinationfound in part 1
3-Based on the fact that the census person does not know the ages after the info. about the house number, what must the number be.
4-Why does the chocolate pudding info help?
5-What are the ages of Mr. Hilberts children.

Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
1. 1,1,72 (74)
2. 1.2.36 (39)
3. 1,3,24 (28)
4. 1,4,18 (23)
5. 1,6,12 (19)
6. 1,8,9 (18)
7. 2,2,18 (22)
8. 2,3,12 (17)
9. 2,4,9 (15)
10.2,6,6 (14)
11.3,3,8 (14)
12.3,4,6 (13)
The house number clue shows that there is more than one total with the house number so the house number must be 14.
The chocolate pudding clue shows that there is an eldest rather than two older children the same age.
The children's ages must be 3, 3 and 8 years old.
RELATED QUESTIONS
I have searched this site for a certain word problem that I am stumped on. I have seen... (answered by Earlsdon)

CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest.... (answered by Edwin McCravy)

Does anyone have any insight into the type of problem below? If so, can you help me? I... (answered by jim_thompson5910)

4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. (answered by venugopalramana,cleomenius)

I am so lost on this. Please help.... CLASSIC PROBLEM - A traveling salesman (selling... (answered by stanbon)

This is my last question, Thanks for all your help everybody. 4) CLASSIC PROBLEM - A... (answered by stanbon)

Please help. I tried to figure this problem out, but I couldnt. CLASSIC PROBLEM - A... (answered by stanbon)

Hopefully this is in the correct area: CLASSIC PROBLEM - A traveling salesman (selling (answered by jim_thompson5910)

4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. (answered by Nate)