document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115230>Question 115230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When one half of the second of two consecutive integers is subtracted from the first of the two consecutive integers, the result is 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83835 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=83835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the two integers are consecutive, if we call the first one X, then the second one<BR>\n" );
document.write( "will be 1 number bigger, so it will be X + 1.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "One-half of the second integer is (1/2)*(X + 1). If you subtract this from the first integer<BR>\n" );
document.write( "X the answer is to be 2. In equation form this is:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "X - (1/2)(X + 1) = 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You can get rid of the fraction (1/2) by multiplying both sides of this equation (all terms) by<BR>\n" );
document.write( "2 and the equation becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2X - (X + 1) = 4<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since the parentheses are preceded by a minus sign, you can remove the parentheses if<BR>\n" );
document.write( "you change the signs of the terms inside the parentheses. Applying this rule results in:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2X - X - 1 = 4<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Get rid of the -1 on the left side by adding +1 to both sides and you have:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2X - X = 5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Combine the two terms on the left side and you have:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "X = 5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "This tells you that the two consecutive integers are 5 and 6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check. If you take half of the second integer you get 3. And if you subtract that from<BR>\n" );
document.write( "the first integer you get 5 - 3 = 2 ... which is just what the problem required. Therefore,<BR>\n" );
document.write( "the answer that the integers are 5 and 6 checks out.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps you to understand how to work the problem.<BR>\n" );
document.write( ".<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );