X. Y. Z,, Pyramid, writes :— " Ihave observed some former problems by John G. Smith, especially one about four or five weeks ago, (No. 45), which you intimated had given tome trouble to your ari 1 hmeticians, and to which no correct answers seem io have been returned, at least, none corresponding with tbat furnished by thel contributor. Mr Whitty, of Gore, and some one else, however, furnished aDßwers which were published by you. The faot was, there were, I think, six answers to that problem. Mr Smith furnished one, Mr Whitty another, both equally correct j and I forwarded to Mr Smith the other solutions for his satisfaction and information. With regard to the problem No. 45, there is almost no limit to the number of solutions. The problem should not have been inserted without some further conditions which would limit the number of solutions." J. F. Morris, Purakanui, sends us a solution I and proof of No. 45, covering two pages of j foolscap.
The Bidder.
