Question

determinati nr nat nenule a si b ,cu a mai mic sau egal decat b,pt care au loc relatiile.....(a,b)=18,[a,b]=216; (a,b)=15,[a,b]=360;[a,b]=240,a*b=2880; (a,b)*[a,b]=72; [a,b]+(a,b)=20; (a,b)=12,a+b+[a,b]=2892......clasa a VIa​

Answer 1

Răspuns:

(a;b)[a;b]=ab

(a;b)x240=2880

(a;b)=12

a=12m

b=12n,(m;n)=1

axb=12^2 x m x n=2880

mn=20

m=1,n=20,a=12,b=240

m=5,a=48,b=60

m=5,n=4 nu

m=20,n=1 nu

Explicație pas cu pas: