Answer to November 27, 2000 Problem

Cross Number Puzzle Problem

 
     
        		1       2              
3      
        		                4      
5      
        		                       
     
        		      6          

Use the clues below to determine the single digit which belongs in each cell in the puzzle above.

There are no zeros in this puzzle.

Across
1. The sum of the digits is 13.
3. Each digit differs by 2 from the preceding one.
    They are either all ascending or all descending.
5. The digits are all even.
    The sum of the digits is 12.
6. A square.

Down
1. The sum of the digits is the same as the sum
    of the digits in 4 Down.
2. The sum of the first two digits is the same as
    the sum of the last two digits of 1 Down.
3. A cube.
4. The cube of an odd number.

 

Solution to Problem:

Use some logic to solve the puzzle. Begin with 3 ACROSS: The numbers must be 2468, 1357, 3579, 9753, 7531, or 8642.
Look at 5 ACROSS: The digits must include one of the following:
one 6 and three 2's, or two 4's and two 2's.
Clue #3 DOWN must be either 125, 216, 343, 512, or 729.

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


Correctly solved by:

1. Bob Hearn Winchester, VA
2. Kirstine Wynn Winchester, VA
3. Joe Vance Winchester, VA
4. Cathrine Roby Winchester, VA
5. Amy Costello Winchester, VA
6. David Powell Winchester, VA
7. Christopher March Winchester, VA
8. Sarah Taylor Winchester, VA
9. Hanna Hughes Winchester, VA
10. Becky Del Balzo Winchester, VA
11. Ryan Charest Winchester, VA
12. Erin McGinnins Winchester, VA