Fie a,b,c-trei numere
a+b+c=84
a/1/2=a/1/3=a/1/6=k
a=k/2
b=k/3
c=k/6
k/2+k/3+k/6=84
3k/6+2k/6+k/6=504/6
3k+2k+k=504
6k=504
k=84
a=84/2
a=42
b=84/3
b=28
c=84/6
c=14
Răspuns:
a+b+c=84
{a, b, c} i. p. {2, 3, 6}
a/2=b/3=c/6=k=> a=k/2, b=k/3, c=k/6
k/2+k/3+k/6=84
3k/6+2k/6+k/6=84
6k/6=84=> k=84
a= 84/2= 42
b= 84/3= 28
c= 84/6= 14
