document.write( "Question 284341: The sum of two numbers is 56.
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document.write( "If the larger number is divided by the smaller number, the quotient is 1 with a remainder of 16. What are the two numbers?\r
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document.write( "I'm not even sure what kind of algebra this falls into - or where to start. \n" );
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Algebra.Com's Answer #206337 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The sum of two numbers is 56. \n" ); document.write( "If the larger number is divided by the smaller number, the quotient is 1 with a remainder of 16. What are the two numbers? \n" ); document.write( "---------------- \n" ); document.write( "Equations: \n" ); document.write( "x + y = 56 \n" ); document.write( "x/y = 1 + 16/y \n" ); document.write( "------------------ \n" ); document.write( "Multiply thru the 2nd equation by \"y\": \n" ); document.write( "------------------ \n" ); document.write( "x + y = 56 \n" ); document.write( "x = y + 16 \n" ); document.write( "------------------ \n" ); document.write( "Rearrange: \n" ); document.write( "x + y = 56 \n" ); document.write( "x - y = 16 \n" ); document.write( "--------------------- \n" ); document.write( "Add and solve for \"x\": \n" ); document.write( "2x = 72 \n" ); document.write( "x = 36 \n" ); document.write( "--- \n" ); document.write( "Substitute for \"x\" and solve for \"y\": \n" ); document.write( "36 + y = 56 \n" ); document.write( "y = 20 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |