Equation: THIS + IS + HIS = CLAIM. Each of the 8 unique letters (A, C, H, I, L, M, S, T) represents a different digit. Leading letters (T, I, H, C) cannot be zero.

T=9, H=8, I=5, S=2, C=1, L=0, A=7, M=6 → 9852 + 52 + 852 = 10756

THIS + IS + HIS = CLAIM

What is this puzzle?

Solve the addition alphametic puzzle where THIS + IS + HIS = CLAIM. 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, C, H, I, L, M, S, T). In the equation THIS + IS + HIS = CLAIM, 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 I and H and C cannot represent zero — this is your first constraint. This puzzle has 3 addends (THIS + IS + HIS), making carry analysis more complex. Start from the rightmost column and work left, tracking carries between columns.

This addition alphametic has 8 unique letters to determine.
Leading letters: T, I, H, C. 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 three addends, each column can produce a carry of at most 2.
A moderate number of letters means you'll need logical deduction alongside trial and error.