DID × AD = AIRER
What is this puzzle?
Solve the multiplication alphametic puzzle where DID × AD = AIRER. Each letter represents a unique digit from 0-9. No number starts with zero.
Difficulty: easy · Category: multiplication · Unique letters: 5
This easy-level multiplication alphametic puzzle features 5 unique letters (A, D, E, I, R). In the equation DID × AD = AIRER, each letter maps to a distinct digit from 0 to 9. With only 5 of 10 digits used, 5 digits remain unused in the solution. The leading letters D and A cannot represent zero — this is your first constraint. The result "AIRER" 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 multiplication alphametic has 5 unique letters to determine.
- Leading letters: D, A. None of these can be zero.
- There are 5 unique letters, so 5 digits from 0–9 will not be used.
- Consider the partial products and how they contribute to each column of the final result.
- With few unique letters, you can often solve this by systematic trial and error.