Question

Aflati numerele x,y,z,t stiind ca sunt invers proportionale cu numelere 1/2;2/3;0,4;0,2 si ca suma lor este 5

Answer 1

x/(1/2)=k ⇒ x=k/2 y/(1/3)=k ⇒y=k/3 z/0,4=k ⇒z=0,4k t/0,2=k ⇒t=0,2k k/2+k/3+0,4k+0,2k=5 3k+2k+2,4k+1,2k=30 8,6k=30 k=300/86=150/43 x=(150/43)/2=75/43 y=(150/43)/3=50/43 z=0,4(150/43)=60/43 z=0,2(150/43)=30/43