document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63630>Question 63630</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> please help me with the following : \r<BR>\n" );
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document.write( "The ratio of two numbers is 8 to 5. The difference of the numbers is 24. What are the numbers?\r<BR>\n" );
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document.write( "Thank yoU! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44363 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=44363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of two numbers is 8 to 5. The difference of the numbers is 24.<BR>\n" );
document.write( "1st: a/b=8/5<BR>\n" );
document.write( "2nd: a-b=24<BR>\n" );
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document.write( "Solve 2nd for a:<BR>\n" );
document.write( "a=b+24<BR>\n" );
document.write( "Substitute into 1st to solve for b:<BR>\n" );
document.write( "(b+24)/b = 24<BR>\n" );
document.write( "b+24=24b<BR>\n" );
document.write( "23b=24<BR>\n" );
document.write( "b=24/23<BR>\n" );
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document.write( "Since a=b+24, a=(24/23)+24<BR>\n" );
document.write( "Multiply thru by 23 to get:<BR>\n" );
document.write( "23a=24+23*24<BR>\n" );
document.write( "23a=24+552<BR>\n" );
document.write( "23a=576<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "a=576/23; b=24/23<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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