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#22975 - Fri Apr 14 2000 12:46 PM How old are your kids?
RedDevel Offline
Forum Adept

Registered: Thu Sep 30 1999
Posts: 119
Loc: Stamford CT USA
Two men (Jim and Tim) have not seen each other in many years.

After talking for some time the following dialog occurs:

Jim: Are you married?
Tim: Yes

Jim: Have any kids?
Tim: Yes, three

Jim: How old are they?
Tim: You tell me!

Jim: I can't!
Tim: The product of their ages is 36

Jim: I still can't!
Tim: See the building across the street, count the windows
(Jim counts them)

Jim: There are....
Tim: Right, the sum of their ages is the same number as the number of windows!

Jim: I still can't
Tim: My youngest has red hair

Jim: I know their ages, they are...
Tim: Right you are!

How did Jim know???


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Insanity is hereditary. You get it from your children.

[This message has been edited by RedDevel (edited 04-14-2000).]

_________________________
Insanity is hereditary. You get it from your children.

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#22976 - Sat Apr 15 2000 07:02 PM Re: How old are your kids?
gtho4 Online   FT-blank
Administrator

Registered: Sun Dec 26 1999
Posts: 49343
Loc: Sydney oz downunder           
if the three kids were 2, 3 and 6 the product would be 36 but the sum is 11 which is an odd number and they don't make windows on walls on an odd number count
.. twins aged 3 and one aged 4?

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#22977 - Sun Apr 16 2000 05:27 PM Re: How old are your kids?
Anonymous
No longer registered


1, 6 and 6 is no good either'cause the sum is 13 (odd number)
youngest has red hair implies that there is a sole child (not twins). I cannot however find a better solution than 3,3 and 4.
i think gtho4 is correct

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#22978 - Sun Apr 16 2000 09:47 PM Re: How old are your kids?
craigal Offline
Explorer

Registered: Sun Apr 16 2000
Posts: 82
Loc: Sydney NSW Australia         
What about 1,3 and 12 ?

Craig


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#22979 - Sun Apr 16 2000 10:27 PM Re: How old are your kids?
def Offline
Explorer

Registered: Thu Sep 30 1999
Posts: 51
Loc: Vallejo California USA
but isn't the question how jim knew, not what the ages were??

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#22980 - Mon Apr 17 2000 07:35 AM Re: How old are your kids?
RedDevel Offline
Forum Adept

Registered: Thu Sep 30 1999
Posts: 119
Loc: Stamford CT USA
You will need the ages, and how Jim knew the ages. It takes a bit of deductive reasoning. Why each bit of information is important...,

Just a small hint, you've already made an incorrect assumption.

------------------
Insanity is hereditary. You get it from your children.

_________________________
Insanity is hereditary. You get it from your children.

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#22981 - Mon Apr 17 2000 08:39 AM Re: How old are your kids?
Anonymous
No longer registered


Just a small hint, you've already made an incorrect assumption
hmm. Now that I think of it, if a building has 5 windows, and 3 floors, then the total can be 15. An odd number total of windows is possible.
Sadly, I have nothing other than a few new sets of numbers:
1, 1, 36
1, 2, 18
1, 3, 12
1, 4, 9
1, 6, 6
2, 2, 9
2, 3, 6
3, 3, 4
these all meet the mathematical requirements...

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#22982 - Mon Apr 17 2000 08:43 AM Re: How old are your kids?
mentor Offline
Explorer

Registered: Wed Apr 12 2000
Posts: 86
After counting the windows, Jim still didn't know the ages. This eliminates several possible age combinations, because their sums would be unique. Two combinations of ages however, have the same sum:1,6,and 6 equals 13; and 2,2, and 9 equals 13. Once Jim learns that one child is the youngest (i.e. not a twin), he knows that the ages are 1, 6, and 6.

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#22983 - Mon Apr 17 2000 11:09 PM Re: How old are your kids?
RedDevel Offline
Forum Adept

Registered: Thu Sep 30 1999
Posts: 119
Loc: Stamford CT USA
Congratulations mentor!

You solved it!

-Red

------------------
Insanity is hereditary. You get it from your children.

_________________________
Insanity is hereditary. You get it from your children.

Top
#22984 - Mon Apr 17 2000 11:43 PM Re: How old are your kids?
gtho4 Online   FT-blank
Administrator

Registered: Sun Dec 26 1999
Posts: 49343
Loc: Sydney oz downunder           
mentor, take a bow mate!

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