lunes, 21 de octubre de 2013

El criptograma original

Se trata de una fracción que también está expresada como decimal periódico (el cero se ha omitido). Como en cualquier criptograma, letras diferentes dan lugar a valores diferentes.

Lo vimos en el libro de David Wells "The Penguin book of curious and interesting puzzles", donde dan una solución, si bien Jim Loy da una segunda solución y asegura que no hay más.

5 comentarios:

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Vikingo Jodar dijo...

Bueno, creo que lo he encontrado:

242/303 = 0,79867986...

E=2, V=4, D=3, I=0, T=7, A=9, L=8, K=6

Vikingo Jodar dijo...

Partiendo de x=0.TALKTALKTALK...


10000x - x = 9999x = TALK

x=(TALK/9999)=((EVE/DID)*<factor comun)

El 9999 lo podemos descomponer (factor*DID) en:

Viendo que TALK=EVE*factor, descartamos el 11 (K y E serian iguales)

Tambien podemos descartar el 101, ya que EVE/101 seria mayor que 1.

Asi que queda que DID es 303, y a partir de ahi, probando valores para EVE (121,141,151,hasta dar con el 242)

Juan Luis dijo...

Muy bien, Vikingo, eso es. Y aún habría otra solución...