Equation: THERE + ARE = RISKS. Each of the 8 unique letters (A, E, H, I, K, R, S, T) represents a different digit. Leading letters (T, A, R) cannot be zero.

T=4, H=9, E=8, R=5, A=7, I=0, S=6, K=1 → 49858 + 758 = 50616

THERE + ARE = RISKS

What is this puzzle?

Solve the addition alphametic puzzle where THERE + ARE = RISKS. 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, E, H, I, K, R, S, T). In the equation THERE + ARE = RISKS, 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 T and A and R 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: T, A, R. 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.