:From: mwdaly@pobox.com (Matthew Daly)
:Newsgroups: rec.puzzles
:Subject: Re: Cross Number Puzzles?
:Date: Thu, 07 May 1998 20:51:25 GMT
:Organization: Eastman Kodak Company
> ABC * DA = BEFA
> + * -
> GHHA + GJE = GFDC
> ------------------
> GJEJ + HJJJ = FFDC
SPOILER
When I say A==B, that means A=B (mod 10).
C*A==A (top row). There are four ways in which this can happen. Either
A=0, C=1, A=5 (and C is odd), or C=6 (and A is even). A is not 0,
because C+A==J (left column). C is not 1, because J+J==C, so C is even
(bottom row). A is not 5, because C+C==A (right row). Therefore, C=6.
A-C==C (right row), so A=2. C+A==J (left row), so J=8. A+E==C (middle
row), so E=4.
The bottom row now says G848 + H888 = FFD6, so D=3 and F=7. The right
row now says B472 - G736 = 7736, so B=9 and G=1. By the bottom row
again, H=5. Since you say that A-J is 0 through 9, and I is not given
in the puzzle, I=0.
296 * 32 = 9472
+ * -
1552 + 184 = 1736
------------------
1848 + 5888 = 7736
-Matthew
--
Matthew Daly mwdaly@pobox.com
My opinions may have changed, but not the fact that I am right - Ashleigh Brilliant
The views expressed here are not necessarily those of my employer, of course.
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