document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=681907>Question 681907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total of three numbers is 118. The second one is seventeen less that the first one;the third one is five more than three times the first one. Form an equation and solve it to find the three numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422956 by </B><A HREF=/tutors/aboutme.mpl?userid=tsewaitung><B>tsewaitung(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tsewaitung><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=422956\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the first number be x,the second number be y, and the third number be z.<BR>\n" );
document.write( "from the question, we have<BR>\n" );
document.write( "x+y+z=118<BR>\n" );
document.write( "y=x-17<BR>\n" );
document.write( "z=3x+5<BR>\n" );
document.write( "by substituting the second and the third equation into the first equation, we have<BR>\n" );
document.write( "x+(x-17)+(3x+5)=118<BR>\n" );
document.write( "    x+x-17+3x+5=118<BR>\n" );
document.write( "          5x-12=118<BR>\n" );
document.write( "             5x=130<BR>\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;\" ><BR>\n" );
document.write( "by substituting x=26 into the second equation, we have<BR>\n" );
document.write( "          y=(26)-17<BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9 ALIGN=MIDDLE  ALT=\"y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "by substituting x=26 into the third equation, we have<BR>\n" );
document.write( "         z=3(26)+5<BR>\n" );
document.write( "         z=78+5<BR>\n" );
document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=83 ALIGN=MIDDLE  ALT=\"z=83\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "checking:<BR>\n" );
document.write( "by substituting x=26, y=9, and z=83 into the first equation, we have<BR>\n" );
document.write( "(26)+(9)+(83)<BR>\n" );
document.write( "=118\r<BR>\n" );
document.write( "\n" );
document.write( "the three numbers are 26,9,and 83. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );