Question 1057508
Let x represent the length of the route on the initial leg of the journey.


The return trip, since it was 8 miles longer, can be represented by x + 8.


Then, since the total distance traveled is 200 miles, we can write the following
equation:


x + (x + 8) = 200


Collecting the x terms on the left side gives:


2x + 8 = 200


Subtracting 8 from both sides leaves:


2x = 192


Dividing by 2 then leaves:


x = 96


Thus, the trip TO his parent's house was 96 miles long.