Question

Aflati doua numere, stiind ca produsul lor este 486, iar c.m.m.m.c. al lor este 54.

Answer 1

[a,b]=54
(a,b)*[a,b]=a*b
(a,b)*54=486
(a,b)=9=>9/a, 9/b=>a=9*c1 b=9*c2
9*c1*9*c2=486
c1*9*c2=486/9
c1*9*c2=54
c1*c2=54/9
c1*c2=6
c1=1,2,3,4,5
c2=5,4,3,2,1
a=1*9,2*9,3*9,4*9,5*9
b=5*9,4*9,3*9,2*9,1*9
a{9,18,27,36,45}
b={45,36,27,18,9}