document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216536>Question 216536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 92. One fifth of the first number added to one half of the second number is 34. Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163493 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163493\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 92. One fifth of the first number added to one half of the second number is 34. Find the two numbers.\r<BR>\n" );
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document.write( "Step 1.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the first number and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=92-x ALIGN=MIDDLE  ALT=\"92-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the second number.\r<BR>\n" );
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document.write( "Step 2.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F5 ALIGN=MIDDLE  ALT=\"x%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > be one-fifth of the first number\r<BR>\n" );
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document.write( "Step 3.  Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2892-x%29%2F2 ALIGN=MIDDLE  ALT=\"%2892-x%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > be one half of the second number.\r<BR>\n" );
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document.write( "Step 4.  Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F5%2B%2892-x%29%2F2=34 ALIGN=MIDDLE  ALT=\"x%2F5%2B%2892-x%29%2F2=34\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the first number added to one half of the second number is 34.\r<BR>\n" );
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document.write( "Step 5.  Solving yields the following steps.\r<BR>\n" );
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document.write( "Multiply 10 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Ax%2F5%2B10%2A%2892-x%29%2F2=10%2A34 ALIGN=MIDDLE  ALT=\"10%2Ax%2F5%2B10%2A%2892-x%29%2F2=10%2A34\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5%2A%2892-x%29=340 ALIGN=MIDDLE  ALT=\"2x%2B5%2A%2892-x%29=340\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=460-3x=340 ALIGN=MIDDLE  ALT=\"460-3x=340\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 3x-340 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=460-3x%2B3x-340=340%2B3x-340 ALIGN=MIDDLE  ALT=\"460-3x%2B3x-340=340%2B3x-340\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=3x ALIGN=MIDDLE  ALT=\"120=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide 3 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F3=3x%2F3 ALIGN=MIDDLE  ALT=\"120%2F3=3x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=40 ALIGN=MIDDLE  ALT=\"x=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=92-x=52 ALIGN=MIDDLE  ALT=\"92-x=52\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F5%2B52%2F2=8%2B26=34 ALIGN=MIDDLE  ALT=\"40%2F5%2B52%2F2=8%2B26=34\"   DISABLED_style= \"max-width:90%; height:auto;\" >...which is a true statement\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  The numbers are 40 and 52.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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