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 re(2): solution (More confusing!) by Charlie)

Oops... It looked fine in preview, but I didn't read my own post over.

To answer Charlie's question, I did make the mistake of mistyping x and y. The equations SHOULD read a+b+c=x^2, a+10b+c=y^2, a*(10b+c)=z^2.

To answer Ravi's question, I don't know how it got mangled in the set up, but those mean + or -, and square root.

If p means plus or minus, and s() means square root(), you can get:

(5 p s(625-4(z^2) )))/ 2 out of that mess.


I think √ or �� means square root and ± or �} means plus or minus.

Posted by Gamer on 2003-05-16 14:54:46