Question

Aflati x,y,z stiind ca X+Y+Z+T=360 si sunt invers proportionale cu 2pe5 ; 2pe7 ; 2pe5 ;2.

Answer 1

x+y+z+t=360
{x,y,z,t}ip{2/5,2/7,2/5, 2}
2x/5=2y/7=2z/5=2t=k
2x/5=k⇒x=5k/2
2y/7=k⇒y=7k/2
2z/5=k⇒z=5k/2
2t=k⇒t=k/2
5k/2+7k/2+5k/2+k/2=360
18k/2=360
k=(360·2)/18
k=40
x=5k/2=(5·40)/2=100
x=100
y=7k/2=(7·40)/2=140
y=140
z=5k/2=100
z=100
t=k/2=40/2=20
t=20
100+140+100+20=360