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10 replies to this topic

#1 bonanova

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Posted 06 March 2009 - 11:49 AM

Arrange six quarters around the perimeter of a central quarter,
and twelve more around the new perimeter. That makes six rows
of 3 coins, six rows of 4 coins and three rows of 5 coins.

Number each coin with a different number from 1-19 so that
the same sum is achieved along all fifteen rows.

What is that sum?

OK now that we have that settled, find the numbers. ;)

Edited by bonanova, 06 March 2009 - 01:36 PM.
Add the final question

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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 Merrick

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Posted 06 March 2009 - 12:52 PM

Spoiler for Here is my try


The question would be a lot harder if you wanted to know the filled in hexagon :-)

Edited by Merrick, 06 March 2009 - 12:55 PM.

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#3 bonanova

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Posted 06 March 2009 - 01:33 PM

Spoiler for Here is my try
The question would be a lot harder if you wanted to know the filled in hexagon :-)

Good point. Go for it. ;)

Nice analysys btw.
And, welcome to the Den
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#4 Juan Daniel R.

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Posted 06 March 2009 - 05:46 PM

Ok, I think I have the first answer.

Spoiler for What is the sum?


Am I on the right track? I'll keep working on the placement of the numbers.
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#5 kitnkat

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Posted 06 March 2009 - 11:34 PM

First post....hopefully I'm thinking about this right.

Spoiler for my thoughts

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#6 bonanova

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Posted 06 March 2009 - 11:48 PM

Ok, I think I have the first answer.

Spoiler for What is the sum?
Am I on the right track? I'll keep working on the placement of the numbers.

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

#7 HoustonHokie

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Posted 07 March 2009 - 02:42 AM

First post....hopefully I'm thinking about this right.

Spoiler for my thoughts

Good thought, but...
Spoiler for unique might matter

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#8 Orykle

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Posted 08 March 2009 - 05:17 AM

Spoiler for solution


I know the formatting wasn't perfect but I tried.
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#9 bonanova

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Posted 09 March 2009 - 03:26 PM

Spoiler for solution
I know the formatting wasn't perfect but I tried.

Bingo. ;)

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

#10 Orykle

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Posted 10 March 2009 - 08:15 PM

I'm pretty sure there is just one unique answer also, I've been trying and can't come up with another. Maybe bonanova can confirm there is only one, save rotations and mirrors.
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