I am thinking of a 5 digit number that when tripled is a perfect square.

Also, when the 5 digit number is split, the first number is double the second one. What is the five digit number?

(Splitting the 5 digit number into two numbers means 12345 into 1 and 2345 or 123 and 45.)

(In reply to Full Solution by DJ)

In the previous post, "x must be equal to 3×3×67, so that the resulting number is 603², or x must equal 67=603" should read "x must be equal to 3×3×67=603, so that the resulting number is 603², or x must equal 67." The "=603" was an afterthought, and I accidentally put it in the wrong place.

Also, the multiplication symbol (×) and the variable x are distinguishable, but very similar. I hope it's clear enough which is which.

Posted by DJ on 2003-08-20 17:21:04