A B C
++++
A    
++++
B    
++++
C    
++++
Complete the crossnumber, using six 3digit
positive
integers and having regard to the following clues:
ACROSS
A. A number that is both a square and a cube.
B. A perfect square
C. A perfect square
DOWN
A. A triangular number.
B. A perfect square
C. A perfect square
A Across must be 729.
A Down can then be 703,741 or 780, but 703 would cause B Across to be really only a 2digit number as it would have a leading zero. The same holds for 780 and C Across. So A Down is 741.
7 2 9
4
1
The rest are perfect squares.
Either
7 2 9 7 2 9
4 0 0 or 4 6 (no valid 46)
1 0 1 1
Only the left side is valid so far, but no square will fit B Down.

Posted by Charlie
on 20140818 12:24:28 