document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183277>Question 183277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two integers is twenty. Five times the smaller integer is two more than twice the larger integer. Find the two integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137649 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=smaller integer<BR>\n" );
document.write( "And 20-x=the larger integer\r<BR>\n" );
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document.write( "Now we are told that:<BR>\n" );
document.write( "5*x-2=2(20-x) get rid of parens<BR>\n" );
document.write( "5x-2=40-2x  add 2 and also 2x to each side<BR>\n" );
document.write( "5x-2+2+2x=40+2-2x+2x  collect like terms<BR>\n" );
document.write( "7x=42  divide each side by 7<BR>\n" );
document.write( "x=6-------------------------------smaller integer<BR>\n" );
document.write( "20-x=20-6=14 larger integer\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "5*6-2=2*14<BR>\n" );
document.write( "28=28\r<BR>\n" );
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document.write( "This could also be solved using two unknowns<BR>\n" );
document.write( "x=smaller<BR>\n" );
document.write( "y=larger<BR>\n" );
document.write( "x+y=20-------------------eq1<BR>\n" );
document.write( "5x-2=2y--------------------eq2\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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