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 #206338 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! Start with what you are given. \n" ); document.write( "The first sentences says the sum -- that means we are going to add \n" ); document.write( "Then it says two numbers. We are dealing with algebra so we assign letters to those numbers. Let's use a and b \n" ); document.write( "so we are adding \n" ); document.write( "a+b \n" ); document.write( "the sum is 56 \n" ); document.write( "is means equals \n" ); document.write( "a+b=56 \n" ); document.write( "then it says the larger number. so far a and b are the same so we pick a for the larger number \n" ); document.write( "a/b=1 + 16/b \n" ); document.write( "[Explanation: this is not part of the problem : if you divide 5 by 3 and have a remainder of 2 what do you do with the 2 you put it over the 3 . let's do it with letters 5/x =1 plus remainder of 2 =1 2/x end of explanation]\r \n" ); document.write( "\n" ); document.write( "back to the problem \n" ); document.write( "so we have 16 remainder and put it over b \n" ); document.write( "a/b=1 + 16/b \n" ); document.write( "so now we have two equations with two unknowns \n" ); document.write( "a+b=56 \n" ); document.write( "a/b=1 + 16/b \n" ); document.write( "solve for a and b \n" ); document.write( "a=36 b=20 \n" ); document.write( "check \n" ); document.write( "a+b=56 \n" ); document.write( "36/20=1 16/20 \n" ); document.write( "ok \n" ); document.write( " |