document.write( "Question 174709: one number is 16 more than another. If the smaller number is subtracted from two thirds of the larger number, the result is one fourth of the sun of the two numbers. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #129783 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
one number is 16 more than another. If the smaller number is subtracted from two thirds of the larger number, the result is one fourth of the sun of the two numbers. Find the numbers.
\n" ); document.write( "
\r\n" );
document.write( "Let L = the larger number\r\n" );
document.write( "Let S = the smaller number\r\n" );
document.write( "\r\n" );
document.write( "one number, L is 16 more than another, S. \r\n" );
document.write( "\r\n" );
document.write( "Therefore \"L+=+S+%2B+16\"\r\n" );
document.write( "\r\n" );
document.write( "If the smaller number, S, is subtracted from two thirds\r\n" );
document.write( "of the larger number, that is, \"2%2F3\"\"L\", giving \r\n" );
document.write( "\"2%2F3\"\"%28L-S%29\", the result is (equals) one fourth\r\n" );
document.write( "of the sum of the two numbers, that's \"1%2F4\"\"%28L%2BS%29\". \r\n" );
document.write( "\r\n" );
document.write( "Therefore, \"2%2F3\"\"L-S\"=\"1%2F4\"\"%28L%2BS%29\". \r\n" );
document.write( "\r\n" );
document.write( "Simplify by multiplying both sides by the LCD of \"12\"\r\n" );
document.write( "\r\n" );
document.write( "\"%2812%29%282%2F3%29L-%2812%29S=%2812%29%281%2F4%29%28L%2BS%29\"\r\n" );
document.write( "\r\n" );
document.write( "Simplifying further:\r\n" );
document.write( "\r\n" );
document.write( "\"8L-12S=3%28L%2BS%29\"\r\n" );
document.write( "\"8L-12S=3L%2B3S\"\r\n" );
document.write( "\"5L=15S\"\r\n" );
document.write( "\"L=3S\"\r\n" );
document.write( "\r\n" );
document.write( "Can you solve this system?:\r\n" );
document.write( "\r\n" );
document.write( "\"system%28L+=+S+%2B+16%2CL=3S%29\"\r\n" );
document.write( "\r\n" );
document.write( "Solution: \"L=24\", \"S=6\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "
\n" ); document.write( "
\n" );