document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292405>Question 292405</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.\r<BR>\n" );
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document.write( "The sum of two consecutive even integers is 86. Find the larger number.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211209 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <em>The 5-Step Method</em><BR>\n" );
document.write( "1) Let x (or some other letter) represent the unknown quantity.<BR>\n" );
document.write( "2) Translate the English to mathematics and form an equation.<BR>\n" );
document.write( "3) Solve this equation.<BR>\n" );
document.write( "4) Check this result by substituting it into the original statement of the problem.<BR>\n" );
document.write( "5) Write a conclusion.<BR>\n" );
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document.write( "Step 1.<BR>\n" );
document.write( "x = an even integer<BR>\n" );
document.write( "y = an even integer that is consecutive to x<BR>\n" );
document.write( "It is better to say:  y = x+2<BR>\n" );
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document.write( "Step 2.<BR>\n" );
document.write( "The sum of two consecutive even integers is 86.<BR>\n" );
document.write( "x+y = 86<BR>\n" );
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document.write( "Step 3.<BR>\n" );
document.write( "substituting y=x+2<BR>\n" );
document.write( "x + x+2 = 86<BR>\n" );
document.write( "2x+2 = 86<BR>\n" );
document.write( "2x = 84<BR>\n" );
document.write( "x = 42<BR>\n" );
document.write( "y = x+2 = 42+2= 44<BR>\n" );
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document.write( "Step 4.<BR>\n" );
document.write( "checking the solution<BR>\n" );
document.write( "x + y = 86?<BR>\n" );
document.write( "42 + 44 = 86<BR>\n" );
document.write( "correct.<BR>\n" );
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document.write( "Step 5.<BR>\n" );
document.write( "Reviewing the question, it asks \"what is the larger number?\"<BR>\n" );
document.write( "So, our conclusion should answer the question:<BR>\n" );
document.write( "The larger of two consecutive even integers that sum to 86 is 44.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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