document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221523>Question 221523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether there are two consecutive odd integers such that 5 times the first exceeds 3 times the second by 54. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166139 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=166139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether there are two consecutive odd integers such that 5 times the first exceeds 3 times the second by 54.\r<BR>\n" );
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document.write( "Step 1.  Let n be the first odd integer.\r<BR>\n" );
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document.write( "Step 2.  Let n+2 be then next consecutive odd integer.\r<BR>\n" );
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document.write( "Step 3.  Let 5n be 5 times the first odd integer.\r<BR>\n" );
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document.write( "Step 4.  Let 3(n+2) be 3 times the second odd integer.\r<BR>\n" );
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document.write( "Step 5. Then,  5n=3(n+2)+54 since 5 times the first exceeds 3 times the second by 54\r<BR>\n" );
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document.write( "Step 6.  Solving the equation in Step 5 yields the following steps:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5n=3%28n%2B2%29%2B54 ALIGN=MIDDLE  ALT=\"5n=3%28n%2B2%29%2B54\"   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=5n=3n%2B6%2B54 ALIGN=MIDDLE  ALT=\"5n=3n%2B6%2B54\"   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=5n=3n%2B60 ALIGN=MIDDLE  ALT=\"5n=3n%2B60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 3n from 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=5n-3n=3n%2B60-3n ALIGN=MIDDLE  ALT=\"5n-3n=3n%2B60-3n\"   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=2n=60 ALIGN=MIDDLE  ALT=\"2n=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 2 to both sides of the equation yields\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2F2=60%2F2 ALIGN=MIDDLE  ALT=\"2n%2F2=60%2F2\"   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=n=30 ALIGN=MIDDLE  ALT=\"n=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >  but n is an even integer.  \r<BR>\n" );
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document.write( "Step 8.  ANSWER:  Therefore there are no odd integers that satisfies the given problem statement.\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 http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit 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\r<BR>\n" );
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document.write( " </SPAN>\n" );
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