document.write( "Question 284341: 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?\r
\n" ); document.write( "\n" ); document.write( "I'm not even sure what kind of algebra this falls into - or where to start.
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Algebra.Com's Answer #206338 by richwmiller(17219)\"\" \"About 
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
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