document.write( "Question 450619: The difference between two numbers is 9. The smaller number plus the larger is 25. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #309985 by blwinbbbles(106) $\"\"$ $\"About$

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s = smaller number l = larger number\r
\n" ); document.write( "\n" ); document.write( "so the difference between the numbers is 9..so you can say:\r
\n" ); document.write( "\n" ); document.write( "l = s + 9 \r
\n" ); document.write( "\n" ); document.write( "and the two added together is 25 ...so you can say:\r
\n" ); document.write( "\n" ); document.write( "l + s = 25..\r
\n" ); document.write( "\n" ); document.write( "since the first equation tells us what l is equal to (s + 9) we can substitute it in to the second equation\r
\n" ); document.write( "\n" ); document.write( "s + 9 + s = 25
\n" ); document.write( "2s + 9 = 25 substract 9 from both sides
\n" ); document.write( "2s = 16 divide both sides by 2
\n" ); document.write( "s = 8 \r
\n" ); document.write( "\n" ); document.write( "Now that you know s you can plug it into the other equation..so:
\n" ); document.write( "l = 8 + 9
\n" ); document.write( "l = 17\r
\n" ); document.write( "\n" ); document.write( "So now you know that the smaller number is 8 and the larger number is 17
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