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In the addition problems below, each letter is to represent the same digit in both problems. Each letter is to be a digit 1 through 9, so that both addition problems are true.
ABC
+DEF
--------
G H I
ADG
+ BEH
---------
C F I
Thanks if you can help! El
Each of these puzzles have a huge amount of solutions. Start with defining C and F (in the first one), then find out what I is. Then try to find what letters B and E are (they could be many different numbers), then find out what H is (remember you have to check if it carries). Finally, do the same for the last column.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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Here are some answers for you. Enjoy!!
I had a blast programming this in the C language.
A B C
D E F (format used below)
G H I
2 5 8
4 7 1 (look thru from back lying on right side for other way)
7 2 9
4 3 8
2 9 1
7 2 9
3 4 8
2 9 1
6 3 9
1 5 7
4 8 2
6 3 9
1 4 6
5 8 3
7 2 9
7 2 9
1 3 5
8 6 4
7 1 8
2 3 6
9 5 4
Last edited by John E. Franklin (2007-10-03 17:49:59)
igloo myrtilles fourmis
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Wow John, are you a computer programmer by profession, or by hobby? You seem to be able to apply programming to nearly every maths question!
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Thanks for the WOW, I started programming when my Dad bought me a Commodore Vic 20 with 4K of RAM. It did BASIC, but I learned its machine code by hex numbers later on in a book. That was around 1984. So it all started by hobby, and I wrote lots of programs just by trial and error like your signature. When I was a kid, once I woke up in the morning with a solution to how to pass the information around in my program. Later in college I took Data Structures, an awesome course, but only got an AC for acceptable, which equals a B or C grade because the tests were limited in time to complete and you had to write algorithms in funny code the teacher made up. Then I graduated with electrical engineering degree, but was not satisfied with my knowledge and found no jobs. So I worked at a grocery store and then was a machine operator and finally I got a job as a C programmer temporary worker for Markem Corporation in Keene, NH, after I took a C course at Keene State College. So then I worked 4 years there doing C, and then 3 years in Vermont doing C & Visual Basic. Then I changed my lifestyle and lived in rural areas and hiked a lot and worked odd jobs while I fought off some personal paranoia that struck me in my thirties. And now I still program as a hobby when something sparks my interest.
igloo myrtilles fourmis
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