Question

Your friend and her parents are visiting colleges. They leave their home in Enid, Oklahoma, and drive to Tulsa, which is 107 mi east and 18 mi south of Enid. From Tulsa, they go to Norman, 83 mi west and 63 mi south of Tulsa. Where is Norman in relation to Enid?

Answer 1

Norman is 24 mi east and 81 mi south of Enid. You get 24 by subtracting the 107 mi east from the 83 mi west. You need to add 63 and 18 for the mi south. I wish I could explain better, have to draw out. 

Answer 2

Norman is 24 mi east and 81 mi south of Enid.

Explanation:

Given,

Let E represents the position of Enid, T represents the position of Tulsa and N represents the position of Norman

Suppose O is the point that is 107 miles east of E,

i.e. OE = 107 miles,

Such that, OT = 18 miles, ( T is 18 miles south of O )

Now, P is the point that is 83 miles west of T,

i.e. PT = 83 miles,

Such that, PN = 63 miles ( N is 63 miles south of P ),

∵ OT + PN = 18 miles = 63 miles = 81 miles,

And, OE - PT = 107 miles - 83 miles = 24 miles,

Hence, Norman is 24 mi east and 81 mi south of Enid.