document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596834>Question 596834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the first two of three consecutive odd integers is 23 more than the third. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377919 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "To solve this problem we need to translate English phrases into algebraic expressions. Then we write an equation showing the relationship between the integers.<BR>\n" );
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document.write( "Let's call the first integer n.<BR>\n" );
document.write( "The second integer is n+1 since the two integers are consecutive.<BR>\n" );
document.write( "Likewise, the third integer is n+2 because (n+1)+1=n+2.<BR>\n" );
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document.write( "We write \"the sum of the first two integers\" as n+(n+1).<BR>\n" );
document.write( "We write \"23 more than the third\" as (n+2)+23.<BR>\n" );
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document.write( "These two expression have the same value, so<BR>\n" );
document.write( "[sum of the first two integers] = [23 more than the third]<BR>\n" );
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document.write( "Our equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B%28n%2B1%29=%28n%2B2%29%2B23 ALIGN=MIDDLE  ALT=\"n%2B%28n%2B1%29=%28n%2B2%29%2B23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify by combining like terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2B1=n%2B25 ALIGN=MIDDLE  ALT=\"2n%2B1=n%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtract n from both sides of the equation to isolate the n-term on the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B1=25 ALIGN=MIDDLE  ALT=\"n%2B1=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtract 1 from both sides of the equation to isolate the constant term on the right side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=24 ALIGN=MIDDLE  ALT=\"n=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We see that the first integer is n=24. Therefore, the other two integers are 25, and 26.<BR>\n" );
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document.write( "Always take time to check your work.<BR>\n" );
document.write( "Are the first two integers 23 more than the third? 24+25=49 and 49-26=23...Yes!<BR>\n" );
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document.write( "That's it! Feel free to email me if this explanation is unclear.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
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