Logic Puzzles

76. Nine Nines Puzzle

This array of 9 nines contains 8 straight lines, each totaling 27 (3 across, 3 down, 2 diagonal). Show how to move 4 nines to new positions to make 10 straight lines, each totaling 27.

Added 16 February 2011 · Updated 8 July 2026

Solution:

Original: New:

9 9 9 9 9 9
9 9 9 9 9 9
9 9 9 9 9 9

So the four moves are:
top-left moves left
top-right moves right
bottom-left moves left
bottom-right moves right

The 10 lines of three 9s are:

3 horizontal rows
1 vertical center line
2 long diagonals
4 shorter diagonals


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