document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011602>Question 1011602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two distinct numbers is 26. If the smaller number is reduced by 1 and the larger number by 3, the product of the two resulting number is 120. What are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627329 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two distinct numbers is 26. If the smaller number is reduced by 1 and the larger number by 3, the product of the two resulting number is 120. What are the numbers? <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "S + L = 26<BR>\n" );
document.write( "(S-1)(L-3) = 120<BR>\n" );
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document.write( "Substitute for \"S\" and solve for \"L\"::<BR>\n" );
document.write( "(26-L-1)(L-3) = 120<BR>\n" );
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document.write( "(25-L)(L-3) = 120<BR>\n" );
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document.write( "-L^2 + 28L - 75 = 120<BR>\n" );
document.write( "L^2 - 28L + 195 = 0<BR>\n" );
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document.write( "L = 15<BR>\n" );
document.write( "S = 11<BR>\n" );
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document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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