Question

Aflati numerele a si b stiind ca a)( a;b)=49 si [a;b]=144

Answer 1

(a,b)=49
[a,b]=144
(a,b)*[a,b]=a*b
a*b=49*144=7056
(a,b)=49⇒49║a
                 49║b
⇒a=49x
    b=49y

49x*49y=7056
x*y=144
divizorii lui 144={1,2,3,4,6,8,9,12,16,18,24,36,48,72,144}
Faci si tu cazurile 
y=1,x=144⇒
y=2,y=72
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