document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281617>Question 281617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three consecutive odd integers for which three times the smallest is 15 less than the sum of the other two. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204601 by </B><A HREF=/tutors/aboutme.mpl?userid=College+Student><B>College Student(505)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=College+Student><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=College+Student><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find three odd consecutive integers, we can plot them as follows:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = first integer<BR>\n" );
document.write( "x+2 = odd consecutive integer<BR>\n" );
document.write( "x+4 = next odd consecutive integer\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, let's substitute these values according to the problem and solve for \"x\" to find the first integer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If three times the smallest is 15 less than the sum of the other two...<BR>\n" );
document.write( "* Three times the smallest would equal to 3x.<BR>\n" );
document.write( "* The word \"is\" means =.<BR>\n" );
document.write( "* The sum of the other two would be (x+2) plus (x+4).<BR>\n" );
document.write( "Therefore:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=%28x%2B2%29%2B%28x%2B4%29-15 ALIGN=MIDDLE  ALT=\"3x=%28x%2B2%29%2B%28x%2B4%29-15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now solve for x:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=2x%2B2%2B4-15 ALIGN=MIDDLE  ALT=\"3x=2x%2B2%2B4-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=2x-9 ALIGN=MIDDLE  ALT=\"3x=2x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2x=-9 ALIGN=MIDDLE  ALT=\"3x-2x=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9 ALIGN=MIDDLE  ALT=\"x=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'll let you find the other two odd consecutive integers.<BR>\n" );
document.write( "You can check its validity by substituting the x for -9 in the original equation.  Both sides of the equation must equal to each other to be true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=%28x%2B2%29%2B%28x%2B4%29-15 ALIGN=MIDDLE  ALT=\"3x=%28x%2B2%29%2B%28x%2B4%29-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28-9%29=%28-9%2B2%29%2B%28-9%2B4%29-15 ALIGN=MIDDLE  ALT=\"3%28-9%29=%28-9%2B2%29%2B%28-9%2B4%29-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27=-27 ALIGN=MIDDLE  ALT=\"-27=-27\"   DISABLED_style= \"max-width:90%; height:auto;\" > ... it checks! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );