Let us suppose Palmers drove x miles in the first day.
Now, we have been given that on the third day, they drove 75 miles. On the second day, they drove 320 miles. And the total distance traveled is 530 miles.
Hence, we have the below equation
[tex]x+320+75=530[/tex]
Now, we have to solve the equation for x
[tex]x+395=530\\ \\ \text{On subtracting 395 to both sides, we get}\\ \\ x=530-395\\ \\ x=135[/tex]
Therefore, on the first day they drove 135 miles.
They drove 135 miles on first day, 320 miles on second day and 75 miles on the third day. The data are not reasonable because on the first day they traveled less miles than second day. And on second day they traveled more miles than third.
