Equation: YOU + SILLY = GOOSE. Each of the 8 unique letters (E, G, I, L, O, S, U, Y) represents a different digit. Leading letters (Y, S, G) cannot be zero.

Y=8, O=0, U=7, S=3, I=9, L=2, G=4, E=5 → 807 + 39228 = 40035

YOU + SILLY = GOOSE

What is this puzzle?

Solve the addition alphametic puzzle where YOU + SILLY = GOOSE. Each letter represents a unique digit from 0-9. No number starts with zero.

Difficulty: medium · Category: addition · Unique letters: 8

This medium-level addition alphametic puzzle features 8 unique letters (E, G, I, L, O, S, U, Y). In the equation YOU + SILLY = GOOSE, each letter maps to a distinct digit from 0 to 9. With only 8 of 10 digits used, 2 digits remain unused in the solution. The leading letters Y and S and G cannot represent zero — this is your first constraint. To solve this efficiently, focus on letters that appear in multiple positions across the equation — these are the most constrained and often the easiest to determine first.

This addition alphametic has 8 unique letters to determine.
Leading letters: Y, S, G. None of these can be zero.
There are 8 unique letters, so 2 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.
A moderate number of letters means you'll need logical deduction alongside trial and error.