document.write( "Question 189716: The sum of two numbers is 99. If 10 times the smaller is decreased by 2 times the larger, the result is 30. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #142362 by jonvaliente(64)\"\" \"About 
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Let x = larger number
\n" ); document.write( " y = smaller number\r
\n" ); document.write( "\n" ); document.write( "The sum of two numbers is 99:
\n" ); document.write( "x+y=99 (1)\r
\n" ); document.write( "\n" ); document.write( "10 times the smaller is decreased by 2 times the larger is 30
\n" ); document.write( "10y-2x=30 (2)\r
\n" ); document.write( "\n" ); document.write( "Multiplying (1) by 2, we get:\r
\n" ); document.write( "\n" ); document.write( "2x+2y=198 (1)\r
\n" ); document.write( "\n" ); document.write( "Adding (1) and (2), we get:\r
\n" ); document.write( "\n" ); document.write( "10y+2y-2x+2x=228
\n" ); document.write( "12y=228
\n" ); document.write( "y=19\r
\n" ); document.write( "\n" ); document.write( "x+19=99
\n" ); document.write( "x=80\r
\n" ); document.write( "\n" ); document.write( "The two numbers are 19 and 80.
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