Answer: The mercury is 38 mi far from sun.
Step-by-step explanation:
Let x denotes the distance ( in mi )between the Sun and Mercury .
Distance from Venus to Sun = x+30.9
Distance from Earth = x+30.9+ 23.6 =x+30.9+ 23.6 =x+54.5
When the total of the distances for these plants from the sun is 199.4 mi.
According to the given statements , we have
[tex]x+x+30.9+x+54.5=199.4[/tex]
[tex]3x+85.4=199.4[/tex]
[tex]3x=199.4-85.4=114[/tex]
[tex]x=38[/tex] [Divide both sides by 3]
Hence, the mercury is 38 mi far from sun.
