Find a three digit number that fits the following criteria:

1)The digits are all different.
2)When each digit is squared and added together the number is the same as the number formed by the 2nd and 3rd digits in the number.
3)When the number formed by the last two digits is squared then added to (the first digit squared and added to itself) it is the same as the original number.

How many different three digit numbers are there that fit the criteria?

What's the story, Lew?
Afternoon problem and only one comment (well, two now!)...
I think it's about time we had a good, long chat to the people of Perplexus-land and told them to get in gear!

Posted by Popstar Dave on 2003-11-08 08:48:32