Equation: DAYS + TOO = SHORT. Each of the 8 unique letters (A, D, H, O, R, S, T, Y) represents a different digit. Leading letters (D, T, S) cannot be zero.

D=9, A=8, Y=7, S=1, T=6, O=5, H=0, R=2 → 9871 + 655 = 10526

DAYS + TOO = SHORT

What is this puzzle?

Solve the addition alphametic puzzle where DAYS + TOO = SHORT. 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, H, O, R, S, T, Y). In the equation DAYS + TOO = SHORT, 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 D and T and S cannot represent zero — this is your first constraint. The result "SHORT" 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: D, T, S. 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.