document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032573>Question 1032573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three integers is <BR>\n" );
document.write( "270. The sum of the first and second integers exceeds the third by<BR>\n" );
document.write( "98.  <BR>\n" );
document.write( "The third integer is <BR>\n" );
document.write( "47 less than the first.<BR>\n" );
document.write( "Find the three integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647235 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the three integers x, y, and z.  Then we write<BR>\n" );
document.write( "x + y + z = 270<BR>\n" );
document.write( "x + y = z + 98<BR>\n" );
document.write( "z = x - 47<BR>\n" );
document.write( "Now substitute the second into the first and get<BR>\n" );
document.write( "z+98 + z = 270<BR>\n" );
document.write( "2z + 98 = 270<BR>\n" );
document.write( "2z = 172<BR>\n" );
document.write( "z = 86<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "86 = x - 47 and<BR>\n" );
document.write( "x = 133<BR>\n" );
document.write( "Plugging x and z in to the first gives us y...<BR>\n" );
document.write( "133 + y + 86 = 270<BR>\n" );
document.write( "219 + y = 270<BR>\n" );
document.write( "y = 51<BR>\n" );
document.write( "Your numbers are 133, 51 and 86.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );