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 January 23rd, 2013, 06:08 PM #1 Senior Member   Joined: Dec 2012 Posts: 450 Thanks: 0 Cross+roads=danger???? Can any of you guys solve this alphanumeric puzzle? $\ \ \ \$ CROSS + $\ \ \ \$ ROADS $\ \ \$_______ = DANGER $\ \ \$_______ Each letter stands for a number.The value for each letter is same everywhere.The equation is absolutely true. Can anyone do this?Also please let me know the way you arrived at the solution. I had done this but by trial and error.It took about weeks.It was too much mind boggling.I hope someone can give simple solutions. Last edited by skipjack; August 15th, 2017 at 08:58 AM.
 January 23rd, 2013, 07:32 PM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,762 Thanks: 860 Re: CROSS+ROADS=DANGER???? 3 solutions: 59488 + 64218 = 123706 90733 + 67513 = 158246 92344 + 83714 = 176058 Those are ALPHAMETICS, not alphanumerics. The "how to solve" is using a bit of logic, and some luck! For instance, you can tell right off the bat that g = 1; see that? And that d<>0. Here's a site where you can see a few examples: http://www.cadaeic.net/alphas.htm If you want more, google "alphametic puzzles".
January 23rd, 2013, 10:28 PM   #3
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Quote:
 3 solutions: 59488 + 64218 = 123706 90733 + 67513 = 158246 92344 + 83714 = 176058 Those are ALPHAMETICS, not alphanumerics. The "how to solve" is using a bit of logic, and some luck! For instance, you can tell right off the bat that g = 1; see that? And that d<>0. Here's a site where you can see a few examples: http://www.cadaeic.net/alphas.htm If you want more, google "alphametic puzzles".
Hello Mr. [color=#0000BF]Denis[/color] !

I don't understand your solutions, all 3 R's don't agree.

Uh - Oh ... more LaTeX trouble.

 January 23rd, 2013, 11:25 PM #4 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 Re: CROSS+ROADS=DANGER???? I found $\displaystyle \ \ 96233$ $\displaystyle \ \ 62513$ $\displaystyle 158746$ D = 1 is obvious. From S + S = R we know R is even. Assume different letters stand for different numbers, then pick choices for R, S and O in that order. Took me about 40 minutes with pencil on paper. Last edited by skipjack; August 15th, 2017 at 09:03 AM.
 January 24th, 2013, 07:38 AM #5 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,762 Thanks: 860 Re: CROSS+ROADS=DANGER???? My bad...assumed that ALL digits had to be used (hence the 0 also), and "innocently!" proceeded as such...our Agent's is right on! (took me 39 minutes) :P Well, if 1st word was by Elmer Fudd, then the R in CROSS would be a W: CWOSS and my solutions would work Wikipedia: Elmer Fudd speaks in an unusual way, replacing his Rs with Ws, so "Watch the road, Rabbit," is replaced with "Watch the woad, wabbit!"
January 25th, 2013, 05:24 PM   #6
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Quote:
 Originally Posted by agentredlum I found $\displaystyle \ \ 96233$ $\displaystyle \ \ 62513$ $\displaystyle 158746$ D = 1 is obvious. From S + S = R we know R is even. Assume different letters stand for different numbers, then pick choices for R, S and O in that order. Took me about 40 minutes with pencil on paper.
This is what I did trial and error. But took me more time. Maybe I was not properly organizing the solution.

I was looking for a pure logical solution.

Last edited by skipjack; August 15th, 2017 at 09:14 AM.

 August 15th, 2017, 08:07 AM #7 Newbie   Joined: Aug 2017 From: Nepal Posts: 1 Thanks: 0 Solution The answer is: $\$ 96233 +62513 ------- 158746 Last edited by skipjack; August 15th, 2017 at 09:06 AM.
 August 15th, 2017, 09:21 AM #8 Global Moderator   Joined: Dec 2006 Posts: 19,178 Thanks: 1646 I posted this alphametic over nine years ago, but a solution wasn't posted then. I was given it to solve when I was aged 7 or 8 - it took me about 20 minutes to find the answer.
 August 15th, 2017, 11:54 AM #9 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,762 Thanks: 860 Can be arranged into this monster: 10000C + 10999R + 1100O + 12S - 9900A - 99990D - 1000N - 100G - 10E = 0 ....which doesn't help much!!
August 15th, 2017, 03:56 PM   #10
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Quote:
 Originally Posted by skipjack I posted this alphametic over nine years ago, but a solution wasn't posted then. I was given it to solve when I was aged 7 or 8 - it took me about 20 minutes to find the answer.
Did you post it when you were first given it to solve? :laugh:

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# cross roads danger solution in ai

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