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:

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   *
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   *
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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?

(In reply to my solution - before looking at the goFish by pcbouhid)

In (a) If 3 digit number is 125 the third digit of the five digit cube must be 5. You list the vertical cube as 17756. What am I missing.

 

Posted by Vernon Lewis on 2005-11-19 08:53:50