document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032221>Question 1032221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of three integers is 353. The sum of the first and second integers exceeds the third by 63.  The third integer is 51 less than the first. Find the three integers.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646850 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "The sum of three integers is 353.<BR>\n" );
document.write( "x + y + z = 353........(1)<BR>\n" );
document.write( "The sum of the first and second <BR>\n" );
document.write( "integers exceeds the third by 63.  <BR>\n" );
document.write( "x + y = z + 63<BR>\n" );
document.write( "Reorganize<BR>\n" );
document.write( "x + y - z = 63.........(2)<BR>\n" );
document.write( "The third integer is 51 less than <BR>\n" );
document.write( "the first.<BR>\n" );
document.write( "z = x - 51.............(3)<BR>\n" );
document.write( "...................<BR>\n" );
document.write( "Using Equations(1)and(2)<BR>\n" );
document.write( "x + y + z = 353.....(1)<BR>\n" );
document.write( "x + y - z = 63......(2)<BR>\n" );
document.write( "Add<BR>\n" );
document.write( "2x + 2y = 416......(4)<BR>\n" );
document.write( "...........<BR>\n" );
document.write( "Using Equation (3)<BR>\n" );
document.write( "z = x - 51<BR>\n" );
document.write( "substitute (x - 51) for z<BR>\n" );
document.write( "in Equation (1)<BR>\n" );
document.write( "x + y + z = 353.......(1)<BR>\n" );
document.write( "x + y + (x - 51) = 353<BR>\n" );
document.write( "x + y + x = 353 + 51<BR>\n" );
document.write( "2x + y = 404.....(5)<BR>\n" );
document.write( "Using Equations (4) and (5)<BR>\n" );
document.write( "2x + 2y = 416 .....(4)<BR>\n" );
document.write( "2x + y = 404.......(5)<BR>\n" );
document.write( "Subtract:<BR>\n" );
document.write( "y = 12.<BR>\n" );
document.write( "Substitute y = 12 into<BR>\n" );
document.write( "Equation (4)<BR>\n" );
document.write( "2x + 2y = 416....(4)<BR>\n" );
document.write( "2x +2(12) = 416<BR>\n" );
document.write( "2x + 24 = 416<BR>\n" );
document.write( "2x = 416 - 24<BR>\n" );
document.write( "2x = 392<BR>\n" );
document.write( "x = 196<BR>\n" );
document.write( "Substitute y = 12 and<BR>\n" );
document.write( "x = 196 into Equation (1)<BR>\n" );
document.write( "x + y + z = 353.....(1)<BR>\n" );
document.write( "196 + 12 + z = 353<BR>\n" );
document.write( "z = 353 - 208<BR>\n" );
document.write( "z = 145<BR>\n" );
document.write( "x = 196, y = 12 and z = 145.<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
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