Help ! Filling in table with values for equations

Ghatto

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What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33

Thanks for accepting me to your forum. I must admit I did maths a long time ago so I am very rusted.

The obvious place to start will be with 14 (7x2). That means B can only be 7 or 2. If B=2 then A must be 0, 1 or 2. If B=7 then A can be 0, 1, 2, 3, 4, 5, 6 or 7
 
What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33

I know A B C D and E must be between 0 and 9 because they must fit in this coordinates - 36 47.ADC and 28 35.EAB
I started with 14.
B must then be 7 or 2
If B=2 then A can be 0,1 or 2
If B=7 then A can be 0,1,2,3,4,5,6
Then I don't know further.
 
One strategy you might try is to just assume that one the variables has a specific value, then fill in the cells, marking down the maximum and minimum values of the cells as you go, and see where that leads. For instance, lets number the cells by their row and their column. So the cell with A is #11, the cell with B is 13, the cell with C is #24, etc. Now, assume B=2...

Cell #13 is 2; Cell #23 must be 7
0 <= E <= 9; 9 <= Cell #22 <= 18 (because 9 - 9 = 0, 18 - 9 = 9)
16 <= Cell #24 <= 25 (9 + 7 = 16, 18 + 7 = 25)
...
and so forth

Eventually you'll either have filled in all the cells, in which case your initial assumption was correct, or else you'll have found a contradiction (i.e. maybe Cell #41 must be at least 9 but can't be more than 6; oops) in which case you know the assumption you made is wrong, so you'll have to go back and make a different assumption.
 
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