DO + YOU + FEEL = LUCKY
What is this puzzle?
Solve the addition alphametic puzzle where DO + YOU + FEEL = LUCKY. Each letter represents a unique digit from 0-9. No number starts with zero.
Difficulty: hard · Category: addition · Unique letters: 9
This hard-level addition alphametic puzzle features 9 unique letters (C, D, E, F, K, L, O, U, Y). In the equation DO + YOU + FEEL = LUCKY, each letter maps to a distinct digit from 0 to 9. With only 9 of 10 digits used, 1 digit remains unused in the solution. The leading letters D and Y and F and L cannot represent zero — this is your first constraint. This puzzle has 3 addends (DO + YOU + FEEL), making carry analysis more complex. Start from the rightmost column and work left, tracking carries between columns. This is a challenging puzzle that requires systematic use of carry analysis, parity checking, and elimination. Start by listing all constraints, then methodically eliminate impossible digit assignments.
- This addition alphametic has 9 unique letters to determine.
- Leading letters: D, Y, F, L. None of these can be zero.
- There are 9 unique letters, so 1 digits from 0–9 will not be used.
- Start from the rightmost column (units place) and work left, tracking carries between columns.
- With three addends, each column can produce a carry of at most 2.
- With many unique letters, use elimination and constraint tracking to narrow down possibilities step by step.