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Aflati doua numere naturale a si b stiind ca (a,b)=9 si a ori b = 1215

Dau coroana !!!!


Răspuns :

(a,b)=9 => a=9x
b=9y. (x,y)=1

a*b=1215
9x*9y=1215. /81
xy=15 |
(x, y)=1. | => (x,y)€{(1,15), (3,5), (5,3) ,(15,1)}

(a,b)€{(9,135), (27,45), (45,27), (135,9)}