document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062092>Question 1062092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An integer is 2 less than twice another. If the product of the two integers is 220, then find the integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676872 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Integers A & B…<BR>\n" );
document.write( "—<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+2B-2+ ALIGN=MIDDLE  ALT=\"+A+=+2B-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+AB+=+220+ ALIGN=MIDDLE  ALT=\"+AB+=+220+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Subs from top eqn into bottom one:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282B-2%29B+=+220+ ALIGN=MIDDLE  ALT=\"+%282B-2%29B+=+220+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++2B%5E2+-+2B+=+220+ ALIGN=MIDDLE  ALT=\"++2B%5E2+-+2B+=+220+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide everything by 2, and rearrange everything to left hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+++B%5E2+-+B+-+110+=+0+ ALIGN=MIDDLE  ALT=\"+++B%5E2+-+B+-+110+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+++%28B%2B10%29%28B-11%29+=+0+ ALIGN=MIDDLE  ALT=\"+++%28B%2B10%29%28B-11%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+B=-10+ ALIGN=MIDDLE  ALT=\"+B=-10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+B=11+ ALIGN=MIDDLE  ALT=\"+B=11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "—<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+B=-10+ ALIGN=MIDDLE  ALT=\"+B=-10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > —> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+2%28-10%29-2+=+-22+ ALIGN=MIDDLE  ALT=\"+A+=+2%28-10%29-2+=+-22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+B=11+ ALIGN=MIDDLE  ALT=\"+B=11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > —> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A=+2%2811%29+-+2+=+20+ ALIGN=MIDDLE  ALT=\"+A=+2%2811%29+-+2+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "—\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "#1   if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=-10 ALIGN=MIDDLE  ALT=\"B=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=-22 ALIGN=MIDDLE  ALT=\"A=-22\"   DISABLED_style= \"max-width:90%; height:auto;\" > :<BR>\n" );
document.write( "                AB = (-10)(-22) = +220  (ok)<BR>\n" );
document.write( "                2B-2 = 2(-10)-2 = -20 - 2 = -22 (=A)  (ok)<BR>\n" );
document.write( "-\r<BR>\n" );
document.write( "\n" );
document.write( "#2   if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+B=11+ ALIGN=MIDDLE  ALT=\"+B=11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=20+ ALIGN=MIDDLE  ALT=\"A=20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                 AB = (11)(20) = 220  (ok)<BR>\n" );
document.write( "                2B-2 = 2(11) - 2 = 22-2 = 20 = A  (ok)<BR>\n" );
document.write( "—<BR>\n" );
document.write( "—<BR>\n" );
document.write( "Answer:  <BR>\n" );
document.write( "              -10 and -22 work<BR>\n" );
document.write( "  and         11 and 20  work<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );