A super number square has the following properties:

1. In each row, the rightmost number is the sum of the other three.
2. In each column, the bottom number is the sum of the other three.
3. Within each NW-SE diagonal line, the last number (bottom rightmost) is the product of the other numbers.

For example, if you have a square that looks like:

A B C D
E F G H
I J K L
M N P Q

you know that A+B+C=D, C+G+K=P, AFK=Q, EJ=P, and so on.

Construct a super number square in which the highest number in any position is 57, and the second number in the top row is a 5 (all numbers are positive integers).

assume that the resulting matrix is symmetrical across the NW-SE line. It's pretty easy to write simple equations for the various lines in the matrix and solve them with that assumption. I found two similar solutions.

Posted by Dino on 2003-08-20 05:00:59