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Friday Puzzler -- What Base?

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Friday Puzzler -- What Base?

#1

Friday Puzzler -- What Base?

Alex Y

Arithmetic in bases other than base ten can look funny. For instance, in base 9, 8X20+(45-85)=130,

while in base 11, 8X20+(45-85)=110.

Incredibly, when you choose the proper base, that equation evaluates to 5!

What is that base?

Re: Friday Puzzler -- What Base?

#2

Hint re: Friday Puzzler -- What Base?

Alex Y

There is a punctuation error in my original post.

Re: Friday Puzzler -- What Base?

#3

Re: Hint re: Friday Puzzler -- What Base?

Larry Barrett

Have you now edited the original?

If the question is 'find the base so that the equation evaluates to 5!' and I can interpret 5! as a factorial (rather than as punctuation) then since 5! = 120, the base in question is 10.

If you have not edited the original, and mean some other error in punctuation, I am still stumped. Doing arithmetic in a base other than 10 scrambles my brain.

Re: Friday Puzzler -- What Base?

#4

Correct

Alex Y

The discussion of bases was pure obfuscation. My punctuation "error" was failing to put a period at the end of the sentence that ended with a factorial. Not fair to make the exclamation point do double duty as a mathematical operator and a punctuation mark. :-)

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