Find a three-digit number containing three different digits where the following are all perfect squares:

(A) The sum of the first digit and the number formed by the second and third digits;

(B) The first digit multiplied by the number formed by the second and third digits and

(C) The sum of the three digits.

(In reply to Do more by Gamer)

I wrote all the possible sets of digits on a bit of paper and worked out which ones worked. Only 916 met all the criteria.

Posted by shaun on 2003-05-15 20:06:56