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a×b=216
[a,b]=36
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a,b=?


Răspuns :

(a;b) =a8b: [a,b]=216:36=6

a*b=216
(a,b)=6
a=6x
b=6y

6x*6y=216
 xy=216:6:6
xy=6 si (x;y)=1  pt ca (a;b)=6
atunci
x=1 si y=6......a=1*6=6 si b=6*6=36
x=2 si y=3......a=2*6=12 si b=3*6=18
x=3 siy=2.........a=18 si b=12
x=6 si y=1 ........a=36 si b=6