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 Hmm by DJ)

When thinking of a "three digit number" I think of one that requires three digits rather than one that's made to be three digits arbitrarily. That's why in the computer program to find the solution I allowed the middle digit to be zero but not the first, as the number formed by the second and third digits was not specified to be necessarily a 2-digit number.

Posted by Charlie on 2003-05-17 09:18:21