Harry, Tom and I each replaced each asterisk in the diagram below with a single digit, such that the two horizontal 4-digit numbers, the horizontal 3-digit number and the vertical 5-digit number were all perfect cubes:

****
   *
 ***
   *
****

We each found a different solution that used exactly nine of the ten digits 0-9. Harry's unused digit was the same as Tom's.

What was my solution?

Tom and Harry's numbers are

{125,1331,4096,17576}, Missing 8

{216,3375,4913,50653}, Missing 8

So you  found

{729,1331,4096,68921}, Missing 5

Posted by goFish on 2005-11-19 06:43:44