document.write( "Question 74459:
\n" ); document.write( "This was on my test, I need to correct it but can't figure it out.\r
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\n" ); document.write( "\n" ); document.write( "The sum of two numbers is 52. If the larger is divided by the smaller, the quotient is 9, and the remainder is 2. Find the numbers by setting up a rational equation. \n" ); document.write( "
Algebra.Com's Answer #53456 by uma(370)\"\" \"About 
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Let the numbers be x and y
\n" ); document.write( "Then x + y = 52
\n" ); document.write( "Let x be the larger of the two numbers.
\n" ); document.write( "When the larger is divided by the smaller, the quotient is 9 and the remainder is 2.
\n" ); document.write( "==> x = 9y + 2
\n" ); document.write( "PLugging in this value of x in the first equation we have,
\n" ); document.write( "9y + 2 + y = 52
\n" ); document.write( "==> 10y + 2 = 52
\n" ); document.write( "==> 10y = 52 - 2 [subtracting 2 from both the sides]
\n" ); document.write( "==> 10y = 50
\n" ); document.write( "==> y = 50/10
\n" ); document.write( "==> y = 5
\n" ); document.write( "So x = 9y + 2
\n" ); document.write( " = 9*5 + 2
\n" ); document.write( " = 45 + 2
\n" ); document.write( " = 47
\n" ); document.write( "So the numbers are 47 and 5.\r
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\n" ); document.write( "\n" ); document.write( "Good Luck!!! \n" ); document.write( "
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