Substitution - figuring out number equivalents for letters

cpgreen

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Aug 29, 2006
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The multiplication problem is:

TIE
X TRY
------------
SNORE

Each letter stands for a 1-digit number. No two letters may stand for the same number. Find a value for each letter. Use the numbers 0,6,3,1,8,9,2 and 4).

Is there a method (other than pure trial and error) for figuring this out? Help! I have several problems like this.
 
There is no "formula" for solving crypto-rhythms. (I think I spelled that correctly.) You just have to keep trying intelligent guess-n-check.

For instance, the leading digit cannot be zero, so T isn't the zero.

Also, since E × Y = E, then you need to consider products that have a shared digit. So you couldn't have E = 2 and Y = 3, since 2 × 3 = 6. But you could try E = 2 and Y = 6, since 2 × 6 = 12.

And for two three-digit numbers to multiply to a five-digit number, the hundreds digits has some fairly strict restrictions. (Try 700 × 700. Will 7 work as the leading digit? And so forth.)

Just keep hammering away at it. You can get it! :D

Eliz.
 
stapel said:
There is no "formula" for solving crypto-rhythms. (I think I spelled that correctly.)

Eliz, tizz my utmost pleasure to apprise you of the fact
that them things there are known as "alphametics", hear?
 
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