document.write( "Question 853447: The sum of two numbers is 108 and their difference is 16. Find each of the numbers. \r
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document.write( "Please show work. \r
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document.write( "If you can find an answer key that would be great. \r
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Algebra.Com's Answer #514091 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Two numbers, right? Not \"a number\"?. \n" ); document.write( ". \n" ); document.write( "Let A be the first number \n" ); document.write( "Let B be the second number \n" ); document.write( "Here's what we know: \n" ); document.write( "A + B = 108 \n" ); document.write( "A - B = 16 \n" ); document.write( "Add these together \n" ); document.write( "2A = 124 (the +B and -B have canceled each other out) \n" ); document.write( "Divide by 2 \n" ); document.write( "A = 62 \n" ); document.write( ". \n" ); document.write( "If A is 62, then B is 108-62, or 46. \n" ); document.write( "Let's plug it in to the second equation to prove it. \n" ); document.write( "A - B = 16 \n" ); document.write( "62 - 46 = 16 \n" ); document.write( "Success! \n" ); document.write( " |