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Guest Message by DevFuse
 

Photo
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My Three Sons (and their ages)


Best Answer k-man, 21 May 2014 - 04:28 PM

My reasoning was correct, but I just made a silly mistake at the end.

 

BTW, I was just kidding about getting respect, but in my solution I was still assuming that the puzzle was indeed unsolvable 4 years ago. ;)

 

Spoiler for Corrected answer

 

 

Go to the full post


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5 replies to this topic

#1 bonanova

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Posted 20 May 2014 - 04:34 PM

At the annual cinco de mayo Brain Den party a few days ago
I was joined by plasmid, k-man and Yoruichi-san, among others.
I happened to mention to Y-san that the ages of my three children

make for a nice puzzle.

I ask for their ages after giving their sum and product, I said.

Y-san said the puzzle was well known, and she seemed surprised

that I would use it.

It may not be that easy, I replied.

In fact, at this very party four years ago I gave the challenge to k-man,
along with the information that my oldest child had not yet turned 17,
and he was unable to solve the problem.

With as much respect as I have for k-man, Y-san replied,
I don't think that means the puzzle is unsolvable.

But just this evening I posed the question to plasmid,
adding that my oldest child had not yet turned 21,
and he too was unable to give me their ages.

Well do any two of the ages differ by 1? she asked.

After I answered, Y-san took my napkin and,
with a wink and a smile that only she knows,
wrote down the three ages.

What are they?

 


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#2 Pickett

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Posted 20 May 2014 - 09:02 PM

hmm...so far I have it down to 25 possibilities...still working on it...but probably won't get to it before tomorrow, at which point this will probably be solved. Great variation on this type of puzzle though!! Thanks Bonanova!


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#3 k-man

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Posted 20 May 2014 - 10:20 PM

It's hard to get some respect around here  ;)

 

Spoiler for By process of elimination

 

Thanks for a great puzzle and an honorable mention, Bonanova!


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#4 bonanova

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Posted 21 May 2014 - 06:13 AM

Pickett: There is still time ...

 

k-man: thanks for being a sport - and you are well respected. But, read the ending carefully.


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#5 k-man

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Posted 21 May 2014 - 04:28 PM   Best Answer

My reasoning was correct, but I just made a silly mistake at the end.

 

BTW, I was just kidding about getting respect, but in my solution I was still assuming that the puzzle was indeed unsolvable 4 years ago. ;)

 

Spoiler for Corrected answer

 

 


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#6 Pickett

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Posted 21 May 2014 - 05:35 PM

My reasoning was correct, but I just made a silly mistake at the end.

 

BTW, I was just kidding about getting respect, but in my solution I was still assuming that the puzzle was indeed unsolvable 4 years ago. ;)

 

Spoiler for Corrected answer

 

 

Hmm...I must have a flaw in my program as this was the approach I was going with, but I had more than the 44 sets that you came up with (which is why I couldn't narrow it down at the end)...nice solve k-man...I'll have to go back and see where my program is wrong.


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