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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2007-09-11 21:51:52

landof+
Full Member

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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.

Code:

 P
 P
 P
----
UP

Code:

    IT
 TAKES
     A
LITTLE
--------
EFFORT

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


I shall be on leave until I say so...
 

#2 2007-09-11 22:25:00

mathsyperson
Moderator

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Re: Cryptarithms

Code:

 P
 P
 P
----
UP

P=5
U=1

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

#3 2007-09-11 22:54:12

landof+
Full Member

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Re: Cryptarithms

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


I shall be on leave until I say so...
 

#4 2007-09-12 23:48:03

landof+
Full Member

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Re: Cryptarithms

Here's more:

Code:

 NINE
 FINE
-------
WIVES

Code:

 POND
  OAR
------
OPIUM

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

Last edited by landof+ (2007-09-12 23:48:29)


I shall be on leave until I say so...
 

#5 2007-09-13 01:08:13

Identity
Power Member

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Re: Cryptarithms

landof+ wrote:

Code:

    IT
 TAKES
     A
LITTLE
--------
EFFORT

I don't think this is possible

 

#6 2007-09-13 23:20:44

landof+
Full Member

Offline

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.


I shall be on leave until I say so...
 

#7 2007-09-21 00:32:51

adam_dsutton
Member

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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

 

#8 2007-09-22 21:14:37

landof+
Full Member

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Re: Cryptarithms

....
Ok, then another one:

Code:

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

I shall be on leave until I say so...
 

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