SOLUTION: From Hanover, New Hampshire to Albany, New York is 5 miles farther than from Albany to Burlington, Vermont. From Burlington to Hanover is 45 miles less than from Burlington to Alba

Question 38971: From Hanover, New Hampshire to Albany, New York is 5 miles farther than from Albany to Burlington, Vermont. From Burlington to Hanover is 45 miles less than from Burlington to Albany. What are the distances between the places if a circuit of the three is 392 miles?
(This is not from a book, helping a friend and I got stumped)
Thank You
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the cities H, A and B.
Let the distance from A to B be x.
Thus the distance from H to A is x + 5.
And the distance from B to H is x - 45.
Add the three distances and get 392.
So we have
x + (x + 5) + (x - 45) = 392
3x - 40 = 392
3x = 432
x = 144
x + 5 = 149
x - 45 = 99
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