document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=657224>Question 657224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem.<BR>\n" );
document.write( "One half of a certain number added to one third of the next consecutive numberis 22. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409847 by </B><A HREF=/tutors/aboutme.mpl?userid=kevwill><B>kevwill(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kevwill><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=kevwill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=409847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the certain number, and x+1 = the next consecutive number.\r<BR>\n" );
document.write( "\n" );
document.write( "Then we have:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2+%2B+%28x%2B1%29%2F3+=+22 ALIGN=MIDDLE  ALT=\"x%2F2+%2B+%28x%2B1%29%2F3+=+22\"   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=%283%2F3%29+%2A+%28x%2F2%29+%2B+%282%2F2%29%2A%28%28x%2B1%29%2F3%29+=+22 ALIGN=MIDDLE  ALT=\"%283%2F3%29+%2A+%28x%2F2%29+%2B+%282%2F2%29%2A%28%28x%2B1%29%2F3%29+=+22\"   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=3x%2F6+%2B+%282x%2B2%29%2F6+=+22 ALIGN=MIDDLE  ALT=\"3x%2F6+%2B+%282x%2B2%29%2F6+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Multiplying both sides by 6:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+2x+%2B+2+=+132 ALIGN=MIDDLE  ALT=\"3x+%2B+2x+%2B+2+=+132\"   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=5x+=+130 ALIGN=MIDDLE  ALT=\"5x+=+130\"   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=x+=+26 ALIGN=MIDDLE  ALT=\"x+=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Confirming:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826%2F2%29+%2B+%2827%2F3%29+=+13+%2B+9+=+22 ALIGN=MIDDLE  ALT=\"%2826%2F2%29+%2B+%2827%2F3%29+=+13+%2B+9+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );