AS + A = MOM
What is this puzzle?
Solve the addition alphametic puzzle where AS + A = MOM. Each letter represents a unique digit from 0-9. No number starts with zero.
Difficulty: easy · Category: addition · Unique letters: 4
This easy-level addition alphametic puzzle features 4 unique letters (A, M, O, S). In the equation AS + A = MOM, each letter maps to a distinct digit from 0 to 9. With only 4 of 10 digits used, 6 digits remain unused in the solution. The leading letters A and M cannot represent zero — this is your first constraint. The result "MOM" has more digits than any addend, which means there must be a carry into the leftmost position. This is a crucial clue for determining the result's leading letter. As a beginner-friendly puzzle, the constraints are straightforward and the solution can be found through logical deduction without advanced techniques.
- This addition alphametic has 4 unique letters to determine.
- Leading letters: A, M. None of these can be zero.
- There are 4 unique letters, so 6 digits from 0–9 will not be used.
- Start from the rightmost column (units place) and work left, tracking carries between columns.
- With two addends, each column can produce a carry of at most 1.
- With few unique letters, you can often solve this by systematic trial and error.