Test your problem solving skills!

You don't need to be a maths genius. It can be solved purely by using reasoning and logic with a small amount of simple addition/subtraction.

That's what I was asking about really, is there a purely logical way of solving it like there is with Sodoku puzzles or is it purely a trial and error type of puzzle, at least to begin with?
 
Use similar columns/rows to narrow down possibilities (for example the first column and third row differ by one letter) and then work out which is correct by considering other close pairings (e.g. first row and third column). Having a few correct answers you can then start working out the rest. You never need guess work.
 
No trial and error needed, just logic.

Your first starting point is the first column which add up to a very low number and the first row and third column which differ in only one letter.

Remeber each letter is unique and can only be 1 to 9
 
It's not really problem solving, more just solving 8 linear equations with an added constraint to ensure a solution. Will do it if i'm bored later :p
 
No trial and error needed, just logic.

Your first starting point is the first column which add up to a very low number and the first row and third column which differ in only one letter.

I'd say the 2nd point is that 2nd column and 4th row are the same.
 
It's not really problem solving, more just solving 8 linear equations with an added constraint to ensure a solution. Will do it if i'm bored later :p

Not really. I am sure I could do it by writing out 9 linear equations and then substitution but you can just do it with logic, step by step.
 
No that just gives you the same equation twice. You only needed it once and its irrelevant that you get it twice (or I certainly didn't use that fact)

But after doing what you said, you already have 2 numbers from each already. Leaving you a better idea of what the other 2 can be, allowing you to fit them in better given the rest of the numbers in the rows/columns.
That's how i did it, which in theory might be wrong, but in practice worked :D
 
Done...

I can't be bothered to type all my scribbles up though :o

I found it easy... then became a bit stuck in the middle but then sorted myself out :) Good lil puzzle
 
Ugh. I'm trying to do this on paper and it's just laborious trying to keep track of which equations to slot in where. I know it's do-able, and I know how to do it, but whether I can actually do it in practise is another matter.
 
Ugh. I'm trying to do this on paper and it's just laborious trying to keep track of which equations to slot in where. I know it's do-able, and I know how to do it, but whether I can actually do it in practise is another matter.

Need my awesome spreadsheet? Doesnt solve it but keeps track for you.
 
Thinking about it, it won't work the way I was doing it. You have 9 variables and only 8 equations, so simultaneous equations won't work, and they also can't account for each value being distinct.
 
Thinking about it, it won't work the way I was doing it. You have 9 variables and only 8 equations, so simultaneous equations won't work, and they also can't account for each value being distinct.

You sure? I make it 9 equations if you think about it ...............;)

And there is an obvious 10th equation sat there as well.
 
But after doing what you said, you already have 2 numbers from each already. Leaving you a better idea of what the other 2 can be, allowing you to fit them in better given the rest of the numbers in the rows/columns.
That's how i did it, which in theory might be wrong, but in practice worked :D

Ah trial and error ;)

I didn't even use/look at the grid. I just wrote the equations out and crossed out the duplicate. 1st column, 1st row and 3rd column gave me three letters right off. After that it was easy.
 
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