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TwoaDay
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these are tough to make so i hope you like them

each letter above the line represents a digit that has a difference of one from the digit represented by the same letter below the line.

1)the digits are 0,2,4,5 and 9

...C A T

+ C A T

________

...D O G

2) digits 0,1,2,3,4,5,6 and 7

..D O G S

- R A T S

________

..C A T S

what digit or digits are represented by each letter?

(ignore periods plz)

Edited by TwoaDay
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I assume that since there are 6 different variables (letters: CATDOG) listed in 1 and only 5 numbers which can represent those variables (0,2,4,5,9) that two different variables can have the same number. Same thing with 2. Is this correct of am I way off?

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I assume that since there are 6 different variables (letters: CATDOG) listed in 1 and only 5 numbers which can represent those variables (0,2,4,5,9) that two different variables can have the same number. Same thing with 2. Is this correct of am I way off?

youre right except that letters above and below the line are diff. numbers, so it still works

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can you explain

of one from the digit represented by the same letter below the line
.does it mean that C and D have differenc of 1.

In this case how can CAT + CAT = DOG!!

And if the numbers can be repeated is it necessary to use all the numbers?

could a solution be as simple as

452 + 452 = 904 ...all are from the sample numbers

Edited by DeepS
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can you explain .does it mean that C and D have differenc of 1.

In this case how can CAT + CAT = DOG!!

And if the numbers can be repeated is it necessary to use all the numbers?

could a solution be as simple as

452 + 452 = 904 ...all are from the sample numbers

It means if there was a C above the line and a C below the line they would have a difference of one. But anyway you are correct , this one was easy

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I guess I should have asked more questions about this puzzle because I was doing it the impossible way. I had assumed that the solution for #1 was applied to #2 such that what ever DOG was for #1 was also DOG for #2 (negating the S, of course, but S is easily 1). It was driving me crazy because there was no solution in that case.

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