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        riddles >> easy >> A Hollow Square And Solid Square Puzzle
        
(Message started by: K Sengupta on Jun 25th, 2006, 12:06am)
Title: A Hollow Square And Solid Square Puzzle
Post by K Sengupta on Jun 25th, 2006, 12:06am
A contingent of soldiers is constituted in the form of a hollow square (P2 + 1) deep ( P is a positive integer),  when  it  was  observed that with  the  induction of an additional ( 2P2 + 1 )2 soldiers, it would be possible to form a solid square with the number of soldiers in each side greater by P(4P2 + 3)  than the positive square root of the number of soldiers in each side of the hollow square constituted previously.

Given that the original strength of the contingent was 323440, determine the number of soldiers in each side of the hollow square formed previously with members of the contingent.


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