document.write( "Question 315237: I had this question on an exam, but feel like there is some information missing. Please help me work this out in my mind so I can correctly answer this.
\n" ); document.write( "Mary works due north of home. Her husband Alan works due east. They leave for work at the same time. When Mary is 7 miles from home, the distance between them is one mile more than Alan's distance from home. How far is Alan from home. The answer is 24 miles, but I don't see how. Please help.
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Algebra.Com's Answer #225530 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Mary, Alan, and their house form a right triangle.
\n" ); document.write( "The legs are the distance from Mary to home and the distance from Alan to home.
\n" ); document.write( "The hypotenuse is the distance from Mary to Alan.
\n" ); document.write( "Since it's a right triangle, the Pythagorean theorem applies.
\n" ); document.write( "\"A%5E2%2BB%5E2=H%5E2\"
\n" ); document.write( "\"7%5E2%2Bx%5E2=%28x%2B1%29%5E2\"
\n" ); document.write( "\"49%2Bx%5E2=x%5E2%2B2x%2B1\"
\n" ); document.write( "\"49=2x%2B1\"
\n" ); document.write( "\"2x=48\"
\n" ); document.write( "\"highlight%28x=24%29\"
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