Equation: THAT + HIT + A = NERVE. Each of the 8 unique letters (A, E, H, I, N, R, T, V) represents a different digit. Leading letters (T, H, A, N) cannot be zero.

T=9, H=8, A=2, I=3, N=1, E=0, R=6, V=7 → 9829 + 839 + 2 = 10670

THAT + HIT + A = NERVE

What is this puzzle?

Solve the addition alphametic puzzle where THAT + HIT + A = NERVE. 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, N, R, T, V). In the equation THAT + HIT + A = NERVE, 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 H and A and N cannot represent zero — this is your first constraint. This puzzle has 3 addends (THAT + HIT + A), 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, H, A, N. 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.