Sudoku

Algebra Level 1

Sudoku is a logic-based combinatorial number-placement puzzle. The objective is to fill a 9 × 9 9 \times 9 grid with digits 1 to 9 such that each column, row and 3 × 3 3 \times 3 box contains all the digits from 1 to 9.

If a Sudoku puzzle is filled correctly, what is the sum of all of the entries in the 9 × 9 9 \times 9 grid?


The answer is 405.

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1 solution

Arron Kau Staff
May 13, 2014

Since each column uses the values from 1 to 9, the sum of each column is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45 .

Since there are 9 columns, the total sum is 9 × 45 = 405 9 \times 45 = 405 .

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