Aflati numarul ab scris in baza 10 ce indeplineste conditia : [tex] \frac{ab}{ba} = 0,375[/tex]



Răspuns :

(10a+b)/(10b+a)=0,375=3/8
80a+8b=30b+3a
77a=22b
7a=2b
cum (7,2)=1 iar asi b sunt cifre
comvin doar a=2 si b=7

ab numar=27
verificare
27/72=3/8=0,375
as interesting as that!!