document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76918>Question 76918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two consecutive integers is 145.  Find the two integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55136 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=55136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be one of the integers.  Then the other integer must be x+1 because the integers<BR>\n" );
document.write( "are consecutive.  The sum of these two integers is to be 145.  So we can write the equation<BR>\n" );
document.write( "for the sum as:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+%28x%2B1%29+=+145 ALIGN=MIDDLE  ALT=\"x+%2B+%28x%2B1%29+=+145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side you can combine the x terms to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+1+=+145 ALIGN=MIDDLE  ALT=\"2x+%2B+1+=+145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since we need to solve for x we need to eliminate the 1 on the left side by subtracting<BR>\n" );
document.write( "1 from both sides.  When we subtract 1 from both sides, the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+144 ALIGN=MIDDLE  ALT=\"2x+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And we can solve for x by dividing both sides of this equation by 2 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+72 ALIGN=MIDDLE  ALT=\"x+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We now know that one of the integers is 72.  The next consecutive integer is x + 1 or<BR>\n" );
document.write( "72 + 1.  So the other missing integer is 73.<BR>\n" );
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document.write( "Check:  Do the two integers 72 and 73 add up to be 145?  Since they really do, we have the<BR>\n" );
document.write( "correct solution.  The integers we were to find are 72 and 73.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and find your way to the solution. </SPAN>\n" );
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