WORLD + TRADE = CENTER value of C+E+N+T+E+R W O R L D T R A D E ----------- C…

Concept:

In a cryptarithmetic (alphametic) addition, every distinct letter stands for a unique digit from 0 to 9, the same letter always keeps the same digit everywhere it appears, and a leading letter can never be 0. When two 5-digit numbers sum to a 6-digit number, the carry generated out of the leftmost column must be exactly 1, and that carry becomes the new leading digit. Because the ten letters interact through six columns at once, the standard technique is a constrained trial: fix whatever the sum size forces outright, test digits for the remaining letters that keep every running carry and every already-fixed letter consistent, and accept the set only once it satisfies all six columns AND every repeated letter agrees with itself — exactly the check carried out below.

Application:

1. Since WORLD (5 digits) + TRADE (5 digits) = CENTER (6 digits), the carry out of the ten-thousands column must be 1, so C = 1.

2. Units column: D + E must end in R. Testing digit pairs consistent with what is already fixed (only C = 1 so far) and with no digit repeated, D = 4 and E = 2 fit here: 4 + 2 = 6, so R = 6 with no carry into the tens column.

3. Tens column: L + D + 0 must end in E. Testing a value for L that keeps the digits distinct, L = 8 fits: 8 + 4 = 12, so E = 2, which matches the E already fixed in the previous step, with a carry of 1 into the hundreds column.

4. Hundreds column: R + A + 1 must end in T. Testing a value for A, A = 0 fits: 6 + 0 + 1 = 7, so T = 7 with no carry into the thousands column.

5. Thousands column: O + R + 0 must end in N. Testing a value for O, O = 3 fits: 3 + 6 = 9, so N = 9 with no carry into the ten-thousands column.

6. Ten-thousands column: W + T + 0 must end in E and carry 1 into C. Testing a value for W, W = 5 fits: 5 + 7 = 12, so E = 2, which agrees with the earlier E, and the carry is 1, confirming C = 1.

Cross-check:

All ten letters W, O, R, L, D, T, A, C, E, N take the ten distinct digits 5, 3, 6, 8, 4, 7, 0, 1, 2, 9 with no repeats, the two E's in CENTER carry the same digit, and re-adding the original numbers confirms the fit: 53684 + 76042 = 129726, which is exactly CENTER with C = 1, E = 2, N = 9, T = 7, E = 2, R = 6. This full agreement across every column and both E's in CENTER is what confirms the digit choices made above.

Result:

So C + E + N + T + E + R = 1 + 2 + 9 + 7 + 2 + 6 = 27.