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#1 2007-09-10 23:51:52

landof+
Member
Registered: 2007-03-24
Posts: 131

Cryptarithms

I'm not sure if it even belongs here, please help me move it if it doesn't. Thanks.

Cryptarithms are the things that you try to substitute the letters with numbers so that the sum becomes right. All members may post their unsolved cryptarithms too!

No 2 letters may be the same number.

 P
 P
 P
----
UP
    IT
 TAKES
     A
LITTLE
--------
EFFORT

Please use the code function, too. Makes it easier to visualize. up


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#2 2007-09-11 00:25:00

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Cryptarithms

 P
 P
 P
----
UP

P=5
U=1

Why did the vector cross the road?
It wanted to be normal.

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#3 2007-09-11 00:54:12

landof+
Member
Registered: 2007-03-24
Posts: 131

Re: Cryptarithms

Excellent! That's easy. Try the other one.


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#4 2007-09-12 01:48:03

landof+
Member
Registered: 2007-03-24
Posts: 131

Re: Cryptarithms

Here's more:

 NINE
 FINE
-------
WIVES
 POND
  OAR
------
OPIUM

Now, I've implemented unsolvable ones too! shame tongue

Last edited by landof+ (2007-09-12 01:48:29)


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#5 2007-09-12 03:08:13

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Cryptarithms

landof+ wrote:
    IT
 TAKES
     A
LITTLE
--------
EFFORT

I don't think this is possible

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#6 2007-09-13 01:20:44

landof+
Member
Registered: 2007-03-24
Posts: 131

Re: Cryptarithms

It kinda stumped me, but it is possible, in an exercise my whole class couldn't solve, and my teacher ended up giving the solution by accident. Trial and error is what you need to do.


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#7 2007-09-20 02:32:51

adam_dsutton
Member
Registered: 2007-09-12
Posts: 10

Re: Cryptarithms

I agree with Identity, if t=9 then:
The first "f" in effort =9+I+1 ...the "1" being carried over.
The second "f" in effort =9+A+1...the "1" being carried over.

Which implies I=A, making it contradictory. :S

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#8 2007-09-21 23:14:37

landof+
Member
Registered: 2007-03-24
Posts: 131

Re: Cryptarithms

....
Ok, then another one:

 ACCURACIES
 ACCURACIES
 ACCURACIES
 ACCURACIES
 ACCURACIES
-----------
MATHEMATICS

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