TWO+TWO=NULL
TWO+TWO=ONE
TWO+TWO=FOUR
TWO+TWO=FIVE
TWO+TWO=SIX
TWO+TWO=NINE
Each one of the above mentioned alphametics, treated separately, has more than one base ten solution. Which one has the most? Which one of them, if any, possess an unique solution in another base or bases?

(In reply to re: computer solution -- corrected by Charlie)

The unique base-5 solution for ONE is

204+204 = 413

base-6:

235 + 235 = 514

base-7 for FOUR:

523 + 523 = 1346

base-8 for NULL:

562 + 562 = 1344

base-9 for NULL:

627 + 627 = 1355

Posted by Charlie on 2010-04-12 12:19:33