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No. 7

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#1 rookie1ja


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Posted 31 March 2007 - 05:34 PM

No. 7 - Back to the Cryptograms and Algebra Puzzles
Replace the same characters by the same numerals so that the mathematical operations are correct.

This old topic is locked since solution is already provided in the Spoiler below.
Pls visit New Puzzles section to see always fresh brain teasers.

Spoiler for Solution

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#2 momo09



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Posted 23 December 2007 - 06:11 AM

58725+58725+3958725 = 4076175
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#3 rover



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Posted 03 February 2010 - 05:09 AM

Here's some of my reasoning in solving this puzzle. Numbers "0 thru 9" are all used.
It is obvious that S="5" for "S" to be in the same column and part of the sum,
The letter "O" must ="9" in order to have a "1" carried over to the "K" so that T=K+1.
This is done by adding the "1" to the "9", carried over from "15" (5+5+5) and the "1" is
carried over again to the "K" from "10" (1+9). "A" must ="0" from the process.
Now we can go back and solve for the letters "U,N,I". We have now used numbers "0,5,9"
If we substitute "2" for "U", then "N=7" and If "N=7", then "E=1". "U" cannot ="1" because "N" would then ="9"
We have numbers "3,4,6,8" left. Since T=K+1, only "3 & 4" will work, leaving numbers "6 and 8" for letters "I and G'.
The rest went really fast.
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