Question

Aflati x,y,z cunoscand ca{x,y,z} sunt invers proportionale cu {2,3,6} si x-y+z=15.Raspunsul trebuie sa fie x=22,5 y=15 z=7,5.

Answer 1

x/(1/2)=k     x=k/2
y/(1/3)=k     y=k/3
z/(1/6)=k    z=k/6
x-y+z=15
k/2-k/3+k/6=90
3k-2k+k=90
2k=90
k=45
x=k/2=45/2=22,5
y=k/3=45/3=15
z=k/6=45/6=7,5