In the following cryptarithm, each letter represents a distinct digit (base 10):
. . . . .
Identify the digits.
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In the following cryptarithm, each letter represents a distinct digit (base 10):
. . . . .
Identify the digits.
Quote:
Originally Posted by Soroban
In the following cryptarithm, each letter represents a distinct digit (base 10):
. . . . .
Identify the digits.
Hello, OReilly!
Your solution is correct.
You offer no explanation . . . did you use some software?
Hey Soroban:
I scratched my head on this one for a while.
One could tackle this in many ways, but if we let FRY=f and HAM=h, then
we can whittle it down to something easier to solve.
Then we have:
. Divide through by 13.
Now, the ol' switcharoo.
I was amazed this actually worked.
I didn't see the very last part right away.
Because we can switch them around and have 538461 and 461538
Hello Soroban,Quote:
Originally Posted by SorobanIn the following cryptarithm, each letter represents a distinct digit (base 10):
. . . . .
Identify the digits.
your problem needs "nothing else" but counting. So I wrote a small program (see attachment) and the result popped up rather immediately. There isn't any mathematical thinking or deduction involved so I didn't dare to publish my "solution". so this post is only for the records.
EB
Lovely, Galactus!
That is exactly the Quickie solution.
Punchline: .Your final equation was: .
Sinceand
are relatively prime (you already divided out the GCD),
. . the only solution in positive integers is: .
Even a blind hog finds an acorn once in a while.Quote:
Originally Posted by SorobanLovely, Galactus!
That is exactly the Quickie solution.
Punchline: .Your final equation was: .
Since
. . the only solution in positive integers is: .