# I guess this is a cryptorithm?

• Oct 20th 2011, 07:11 AM
wejustwentatit
I guess this is a cryptorithm?
ABC
X DE
---------
FGHD
CAAC
-------------
IDBDD

[picture if text example is terrible - Attachment 22626
Im pretty far into it, but I cant put down any numbers.
Im not sure if D is 6 or no.

Heres some of the info Ive got so far:

E ≠ 1 , D ≠ 1 , and C ≠ 1

E ≠ 5 , D ≠ 5 , and C ≠ 5

I = C + 1

E*C = ?D, '?' stands for an unknown digit.

D*C = ?C

A, C, D, E, F, I cant be 0.

Thanks in notice. Taking any skype calls: heck7er
• Oct 20th 2011, 07:51 AM
Opalg
Re: I guess this is a cryptorithm?
The key to this is the line CAAC. That number must be a multiple of 11 (sum of digits in even-numbered positions = sum of digits in odd-numbered positions). Since D is obviously not a multiple of 11, it follows that ABC, and hence also IDBDD, must be multiples of 11.

Assuming that the letters A to I stand for the numbers 1 to 9 in some order, you should be able to see fairly soon that D=6. Thus the bottom line becomes I6B66, which can only be a multiple of 11 if I+B = 6 or 17. You can rule out 17 quite easily, and then you soon find the remaining values.

Spoiler:
Code:

```  814  x 69 -----  7326 4884 ----- 56166```
• Oct 20th 2011, 07:58 AM
wejustwentatit
Re: I guess this is a cryptorithm?
Quote:

Originally Posted by Opalg
The key to this is the line CAAC. That number must be a multiple of 11 (sum of digits in even-numbered positions = sum of digits in odd-numbered positions). Since D is obviously not a multiple of 11, it follows that ABC, and hence also IDBDD, must be multiples of 11.

Assuming that the letters A to I stand for the numbers 1 to 9 in some order, you should be able to see fairly soon that D=6. Thus the bottom line becomes I6B66, which can only be a multiple of 11 if I+B = 6 or 17. You can rule out 17 quite easily, and then you soon find the remaining values.

Spoiler:
Code:

```  814  x 69 -----  7326 4884 ----- 56166```

Ty mate. I used your key to check, the bonus tips were very useful. Once again, thanks.