document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669455>Question 669455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> twice a number exceeds 24 by as much as twice a second number is less than 80.thrice the first number divided by 5 is equal to the second number divided by 4. find 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 #416508 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=416508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two numbers, a & a<BR>\n" );
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document.write( "twice a number exceeds 24 by as much as twice a second number is less than 80.<BR>\n" );
document.write( "2a - 24 = 80 - 2b<BR>\n" );
document.write( "2a + 2b = 80 + 24<BR>\n" );
document.write( "2a + 2b = 104<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "a + b = 52<BR>\n" );
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document.write( "thrice the first number divided by 5 is equal to the second number divided by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283a%29%2F5 ALIGN=MIDDLE  ALT=\"%283a%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F4 ALIGN=MIDDLE  ALT=\"b%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "4(3a) = 5b<BR>\n" );
document.write( "12a = 5b<BR>\n" );
document.write( "12a - 5b = 0<BR>\n" );
document.write( " 5a + 5b = 260 multiplied the 1st equation by 5<BR>\n" );
document.write( "-------------- addition eliminates b, find a<BR>\n" );
document.write( "17a = 260<BR>\n" );
document.write( "a ~ 15.294, I would have expected integers here, anyway<BR>\n" );
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document.write( "a + b = 52<BR>\n" );
document.write( "15.294 + b = 52<BR>\n" );
document.write( "b = 52 - 15.294<BR>\n" );
document.write( "b = 36.706<BR>\n" );
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document.write( "See if that satisfies the 2nd statement, using a calc:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A15.294%29%2F5 ALIGN=MIDDLE  ALT=\"%283%2A15.294%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36.706%2F4 ALIGN=MIDDLE  ALT=\"36.706%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9.1764 ~ 9.1765, close anyway\r<BR>\n" );
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document.write( " </SPAN>\n" );
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