3X3 Grid Digits 1 to 9

To arrange the digits 1 to 9 in the 3×3 square in such a way that the number in the second row is twice that in the first row, and the number in the bottom row is three times that in the top row.

Answer: Only four solutions exist to this puzzle.

1   9   2                                          2  1   9
3   8   4                                         4   3   8
5   7   6                                         6   5   7

192                                              219
384 = 2 * 192                            438 = 2 * 219
576 = 3 * 192                             657 = 3 * 219

2   7   3                                        3   2   7
5   4   6                                        6   5   4
8   1   9                                        9   8   1

273                                              327
546 = 2 * 273                            654 = 2 * 327
819 = 3 * 273                            981 = 3 * 327

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About benvitalis

math grad - Interest: Number theory
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