Question

determinati numerele a,b,c invers proportionale cu numerele 4;16;27 ,stiind ca a x b x c =1

Answer 1

4a=16b=27c=k
4a=k
a=k/4
16b=k
b=k/16
27c=k
k=k/27
k/4×k/16×k/27=1
k³/4³×3³=1
k³=(4×3)³
k=12
a=12/4
a=3
b=12/16
b=3/4
c=12/27
c=4/9