Equation: SOME + GOOD = IDEAS. Each of the 8 unique letters (A, D, E, G, I, M, O, S) represents a different digit. Leading letters (S, G, I) cannot be zero.

S=8, O=7, M=9, E=5, G=4, D=3, I=1, A=6 → 8795 + 4773 = 13568

SOME + GOOD = IDEAS

What is this puzzle?

Solve the addition alphametic puzzle where SOME + GOOD = IDEAS. 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 (A, D, E, G, I, M, O, S). In the equation SOME + GOOD = IDEAS, 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 S and G and I cannot represent zero — this is your first constraint. The result "IDEAS" 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.

This addition alphametic has 8 unique letters to determine.
Leading letters: S, G, I. 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.