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.

Answer 1

{ x, y, z, t} i. p{ 1/2,1/3,0,4,0,2}
x×1/2= y×1/3= z×0,4= t×0,2=k
x= 2k
y=3k
z=0,4 k = 4/10= 2/5 k
t=0,2k =2/10= 1/5 k
x+y+z+t =5
2k+3k +2/5k+1/5k =5
25k +2k +k /5 =5
28k /5=5
k=28/25
x= 2k =2×28/25 = 56/25
y= 3×28/25= 84/25
z=2/5×k = 2/5×28/25 =56/125
t= 1/5k = 1/5×28/25= 28/125