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January 23rd, 2013, 06:08 PM   #1
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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.
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January 23rd, 2013, 07:32 PM   #2
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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".
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January 23rd, 2013, 10:28 PM   #3
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Re: CROSS+ROADS=DANGER????

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.
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January 23rd, 2013, 11:25 PM   #4
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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.
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January 24th, 2013, 07:38 AM   #5
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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!"
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January 25th, 2013, 05:24 PM   #6
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Re: CROSS+ROADS=DANGER????

Quote:
Originally Posted by agentredlum View Post
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.
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August 15th, 2017, 08:07 AM   #7
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Solution

The answer is:
$\ $ 96233
+62513
-------
158746

Last edited by skipjack; August 15th, 2017 at 09:06 AM.
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August 15th, 2017, 09:21 AM   #8
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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.
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August 15th, 2017, 11:54 AM   #9
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Can be arranged into this monster:
10000C + 10999R + 1100O + 12S - 9900A
- 99990D - 1000N - 100G - 10E = 0
....which doesn't help much!!
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August 15th, 2017, 03:56 PM   #10
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Quote:
Originally Posted by skipjack View Post
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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