Sudoku puzzle

Algebra Level 1

What's the sum of all the numbers filled into a sudoku(数独)puzzle?

NOTE: A sudoku puzzle is a 9x9 grid.

Each line and column needs to be filled with number 1 through 9 without repetition.

There are 9 3x3 squares in the 9x9 grid, each 3x3 square needs to be filled with numbers 1 through 9 without repetition.

81 405 999 900

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4 solutions

Caleb Townsend
Feb 4, 2015

In a sudoku puzzle, every integer from 1 to 9 appears exactly 9 times, so the sum of all its numbers is 9 ( 1 + 2 + . . . + 9 ) = 9 45 = 405 9 * (1 + 2\ + ... +\ 9) = 9 * 45 = \boxed{405}

Animesh Jha
Feb 13, 2015

let the sum of one row be x , so the total sum would be 9x. x=[ {9(9+1)}/2]
where n equals to 9 as the sum of consecutive numbers is
[ {n(n+1)}/2]
x=45 9x=450-45= 405


Fox To-ong
Feb 10, 2015

45 x 2 = 405

Lu Chee Ket
Feb 4, 2015

S = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

2 S = 10 x 9

S = 45

45 x 9 = 405

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