document.write( "Question 70623: One number is 6 more than another. If the sum of the smaller number and 3times the larger number is 34, find the two numbers. show your work \n" ); document.write( "

Algebra.Com's Answer #50412 by jim_thompson5910(35256) $\"\"$ $\"About$

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Let s=smaller number L=larger number\r
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document.write( "             L=s+6  (the larger number is 6 greater than the smaller)\r\n" );
document.write( "          s+3L=34

\n" ); document.write( "Plug in (s+6) into L of 2nd equation to solve for s (this is possible since L=s+6)
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document.write( "            s+3s+18=34  Distribute the 3 among (s+6)\r\n" );
document.write( "            4s+18=34    Add the s terms\r\n" );
document.write( "            4s=16       subtract 18 from both sides\r\n" );
document.write( "            s=4

Divide both sides by 4
\n" ); document.write( "The smaller number is 4 so the larger is only 6 more than the smaller
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document.write( "             L=4+6\r\n" );
document.write( "             L=10

\n" ); document.write( "So the larger number is 10.
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