Question

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

Answer 1

{x, y, z, t} i.p {1/2; 1/3; 0,4; 0,2}
x/2=y/3=2z/5=t/5
x/2=y/3=>x=2y/3
2z/5=y/3=>5y/6
t/5=y/3=>t=5y/3
x+y+z+t=5
2y/3+y+5y/6+5y/3=5
4y+6y+5y+10y=30
25y=30=>y=30/25=6/5
=>x=2*6/5/3=12/5*1/3=4/5
    z=5*6/5/6=30/5*1/6=1
    t=5*6/5/3=30/5*1/3=2