document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203135>Question 1203135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two whole numbers is 45 and their difference is less than 10. The number of all possible pairs is: WAN.Algebra.com<BR>\n" );
document.write( "A. 4<BR>\n" );
document.write( "B. 5<BR>\n" );
document.write( "C. 6<BR>\n" );
document.write( "D. 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838446 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the set of whole numbers is all positive integers plus 0.<BR>\n" );
document.write( "you are given that x + y = 45 and x - y < 10<BR>\n" );
document.write( "from the first equation, solve for y to get y = 45 - x<BR>\n" );
document.write( "in the second equation, replace y with 45 - x to get x - (45 - x) < 10 which becomes 2x - 45 < 10 which becomes 2x < 55 which becomes x < 27.5.<BR>\n" );
document.write( "since x has to be a whole number, you get x <= 27.<BR>\n" );
document.write( "when x = 27, y = 45 - 27 = 18 and x - y becomes 27 - 18 = 9<BR>\n" );
document.write( "when x = 26, y = 45 - 26 = 19 and x - y becomes 27 - 19 = 7<BR>\n" );
document.write( "working down the line, you get:<BR>\n" );
document.write( "when x = 25, x - y = 5<BR>\n" );
document.write( "when x = 24, x - y = 3<BR>\n" );
document.write( "when x = 23, x - y = 1<BR>\n" );
document.write( "when x = 22, x - y = -1 ***** this is not a whole number.<BR>\n" );
document.write( "you run out of x - y being a whole number after x = 23, so you have to stop there.<BR>\n" );
document.write( "your total of possible values of x - y < 10 is equal to 5.<BR>\n" );
document.write( "that's your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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