Equation: FOR + LOST = GIRLS. Each of the 8 unique letters (F, G, I, L, O, R, S, T) represents a different digit. Leading letters (F, L, G) cannot be zero.

F=8, O=4, R=2, L=9, S=5, T=3, G=1, I=0 → 842 + 9453 = 10295

FOR + LOST = GIRLS

What is this puzzle?

Solve the addition alphametic puzzle where FOR + LOST = GIRLS. 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 (F, G, I, L, O, R, S, T). In the equation FOR + LOST = GIRLS, 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 F and L and G cannot represent zero — this is your first constraint. The result "GIRLS" 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: F, L, 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.