Question

Numerele 504,142,233 impartite la acelasi numar n dau resturile 9,7,8 si caturile nenule. Aflati numarul n! Va rog repede!

Answer 1

504:x=c1 rest9 =>x*c1=504-9 => x*c1=495;;;142:x=c2 rest7 =>x*c2=135;; 233:x=c3 rest8 => x*c3=225 . 495=3²*5*11;; 135=3³*5 ;; 225=3²*5² => (495;135;225)=3²*5=45. X=45 proba 504:45=11 rest 9; 142:45=3 rest7 si 233:45=5 rest 8