document.write( "Question 410485: The difference between two numbers is 6. If you double both numbers, the sum is 36. Find the two numbers
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Algebra.Com's Answer #288629 by rfadrogane(214)\"\" \"About 
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The difference between two numbers is 6. If you double both numbers, the sum is 36. Find the two numbers
\n" ); document.write( "Sol'n:
\n" ); document.write( "let x-the larger number
\n" ); document.write( "y-the smaller number\r
\n" ); document.write( "\n" ); document.write( "x-y=6 ---(1)
\n" ); document.write( "2x+2y=36 ---(2)\r
\n" ); document.write( "\n" ); document.write( "divide (2) by 2
\n" ); document.write( " x+y=18 ----(2')\r
\n" ); document.write( "\n" ); document.write( "add two equations:\r
\n" ); document.write( "\n" ); document.write( "x-y=6
\n" ); document.write( "x+y=18
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\n" ); document.write( "2x=24
\n" ); document.write( "x=12 \r
\n" ); document.write( "\n" ); document.write( "for y:from (1)
\n" ); document.write( "y=x-6
\n" ); document.write( "y=12-6
\n" ); document.write( "y=6\r
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\n" ); document.write( "\n" ); document.write( "thus, x=12 & y=6 ---answer
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