document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=889960>Question 889960</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the sum of 2 numbers is 107 and the difference is 17 find the number   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538569 by </B><A HREF=/tutors/aboutme.mpl?userid=harpazo><B>harpazo(655)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=harpazo><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=harpazo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=538569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do you want the number or the numbers?\r<BR>\n" );
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document.write( "I assume you need to find the two numbers.\r<BR>\n" );
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document.write( "Let x and y be the two numbers.\r<BR>\n" );
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document.write( "x + y = 107<BR>\n" );
document.write( "x - y = 17\r<BR>\n" );
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document.write( "We have a system of linear equations in two variables.\r<BR>\n" );
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document.write( "Notice right away that both y letters cancel out. See it?\r<BR>\n" );
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document.write( "We are left with 2x = 124.\r<BR>\n" );
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document.write( "Solve for x.\r<BR>\n" );
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document.write( "2x = 124\r<BR>\n" );
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document.write( "x = 124/2\r<BR>\n" );
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document.write( "x = 62\r<BR>\n" );
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document.write( "We found x to be 62.\r<BR>\n" );
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document.write( "Now plug x = 62 into EITHER equation above to find y.\r<BR>\n" );
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document.write( "I will use x + y = 107 but you can use the other equation if you'd like.\r<BR>\n" );
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document.write( "So, x = 62.\r<BR>\n" );
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document.write( "Then 62 + y = 107\r<BR>\n" );
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document.write( "Solve for y.\r<BR>\n" );
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document.write( "y = 107 - 62\r<BR>\n" );
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document.write( "y = 45\r<BR>\n" );
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document.write( "The two missing numbers are 45 and 62.\r<BR>\n" );
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