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.

Explain how you got the number, and prove that there are or aren't any more three digit numbers. That is always a good idea for problems like this.

Posted by Gamer on 2003-05-15 10:18:28