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patru numere sunt direct proportionale cu 0,0(6);0,2;0,(3) si 2 iar media aritmetica este 42. Aflati numerele

Răspuns :

a+b+c+d=42×4=168
a=0,0(6)k=6k/90=k/15   
b=0,2k=k/5
c=0,(3)k=k/3
d=2k
k/15+k/5+k/3+2k=168
k+3k+5k+30k=2520
39k=2520
k=2520/39=840/13
a=k/15 =(840/13)/15=840/195=56/13
b=k/5 =(840/13)/5=168/13
c=k/3 =(840/13)/3=280/13
d=2k =2×(840/13)=1680/13