document.write( "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?\r
\n" ); document.write( "\n" ); document.write( "(This is not from a book, helping a friend and I got stumped)
\n" ); document.write( "Thank You
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Algebra.Com's Answer #24422 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
Call the cities H, A and B.
\n" ); document.write( "Let the distance from A to B be x.
\n" ); document.write( "Thus the distance from H to A is x + 5.
\n" ); document.write( "And the distance from B to H is x - 45.
\n" ); document.write( "Add the three distances and get 392.
\n" ); document.write( "So we have
\n" ); document.write( "x + (x + 5) + (x - 45) = 392
\n" ); document.write( "3x - 40 = 392
\n" ); document.write( "3x = 432
\n" ); document.write( "x = 144
\n" ); document.write( "x + 5 = 149
\n" ); document.write( "x - 45 = 99
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