Use the clues below to place one digit in each box, forming a three-digit number in each column (reading down)
and a three-digit number in each row (reading across from left to right).
Clues:
(1) Each digit from 1 to 9 will be used exactly once in the grid.
(2) The number A has a first digit that is one less than its second digit, and a second digit that is one less than its third digit.
(3) The number B has a first digit that is one more than its second digit, and a second digit that is one more than its third digit.
(4) C has a third digit that is equal to the sum of its first two digits.
(5) D is an even number.
(6) E is an odd number.
(7) F is equal to three times number A.
Solution to the Problem:
Here is SreeRoopa Sankararaman's excellent analysis:
Reasoning:
1. D is Even. So Cell DC must be even.
2. E is odd. So Cell EC must be odd
3. C has a third digit that is equal to the sum of its first two digits. So Cell FC must be odd.
4. F = 3 x A. So A must be odd. So Cell FA is odd
5. A has first digit 2 less than last digit. So Cell DA is odd.
6. Only 1 more digit in the grid can be odd. So Cell FB and DB must be even and Cell EB must be odd.
Cell FA and FC:
F= 3 X A
FA Cannot be 1 or 5 or 7 or 9
Possible combination is only 3 & 9
FA = 3
FC = 9
Then A is 123
So F is 369
So B must be 876
C must be 459
Correctly solved by:
| 1. James Alarie | Flint, Michigan |
| 2. Kelly Stubblefield | Mobile, Alabama |
| 3. Karim Tarek | Cairo, Egypt |
| 4. Mishan Kasipsarsad | Johannesburg, South Africa |
| 5. Kimberly Howe | Vienna, Virginia |
| 6. Ivy Joseph | Pune, Maharashtra, India |
| 7. Caleb Frazier |
Delta High School, Delta, Colorado |
| 8. SreeRoopa Sankararaman | Singapore, Singapore |
| 9. Brijesh Dave | Mumbai City, Maharashtra, India |
| 10. Ashlee Rudy |
Mountain View High School, Mountain View, Wyoming |
| 11. Madison Bindl |
Mountain View High School, Mountain View, Wyoming |
| 12. Mairany Jaracuaro |
Delta High School, Delta, Colorado |
| 13. Rob Miles | Northbrook, Illinois |
| 14. Alyssa Rippetoe |
Mountain View High School, Mountain View, Wyoming |
| 15. Kaylee Gross |
Mountain View High School, Mountain View, Wyoming |