Given the sums below, where the digits were replaced by letters (same digit, same letter; different digits, different letters):
A B C D A C F F A A D B
+ E E F F + F F F + A A A
------- ------- -------
F C C E B C F B B D C D
Identify the value correspondent to each letter.
All calculations are done in base-7. The required completed cryptarithms are given by:
4502 4066 4425
+ 1166 + 666 + 444
------ ------- --------
6001 5065 5202
Accordingly, the required letter to digit assignment is given by:
A B C D E F
4 5 0 2 1 6
Edited on March 21, 2023, 11:15 am