Question

1.Fie x,y,z trei numere rationale pozitive,invers proportionale cu 4.6 si 10.Aflati cele trei numere stiind ca suma lor este 62.

Answer 1

(x,y,z) i.p (4,6,10)
4x=6y=10z=k 4x=k=> x=k/4 6y=k=>y=k/6 10z=k=>z=k/10 x+y+z=62 k/4+k/6+k/10=62 15k+10k+6k=62•60 31k=3720 k=3720:31 k=120 x=120/4=30 y=120/6=20 z=120:10=12