document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062383>Question 1062383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of two numbers is 4:5. After adding 20 to the smaller number and subtracting 20 from the greater number the ratio becomes 14:13. Find the numbers.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677275 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=677275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of two numbers is 4:5. After adding 20 to the smaller number and subtracting 20 from the greater number the ratio becomes 14:13. Find the numbers.<BR>\n" );
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document.write( "let x = the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4x = the 1st number<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5x = the 2nd number<BR>\n" );
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document.write( "\"After adding 20 to the smaller number and subtracting 20 from the greater number the ratio becomes 14:13.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B20%29%2F%285x-20%29 ALIGN=MIDDLE  ALT=\"%284x%2B20%29%2F%285x-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F13 ALIGN=MIDDLE  ALT=\"14%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "14(5x-20) = 13(4x+20)<BR>\n" );
document.write( "70x - 280 = 52x + 260<BR>\n" );
document.write( "70x - 52x = 260 + 280<BR>\n" );
document.write( "18x = 540<BR>\n" );
document.write( "x = 540/18<BR>\n" );
document.write( "x = 30 is the multipliers<BR>\n" );
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document.write( "Find the the numbers<BR>\n" );
document.write( "4(30) = 120 is the first number<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5(30) = 150 Is the 2nd number<BR>\n" );
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