document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275526>Question 275526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the sum of two positive integers is 43 and the difference of their squares is 43, then the smaller integer is\r<BR>\n" );
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document.write( "a)17 b) 19 c) 20 d) 21\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 #200943 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the sum of two positive integers is 43 and the difference of their squares is 43, then the smaller integer is\r<BR>\n" );
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document.write( "Let one integer be x\r<BR>\n" );
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document.write( "The other integer will be 43-x\r<BR>\n" );
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document.write( "The difference of squares = 43\r<BR>\n" );
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document.write( "x^2-(43-x)^2=43\r<BR>\n" );
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document.write( "(x+43-x)(x-43+x)=43<BR>\n" );
document.write( "43(2x-43)=43\r<BR>\n" );
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document.write( "2x-43=1<BR>\n" );
document.write( "2x=44<BR>\n" );
document.write( "x=22\r<BR>\n" );
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document.write( "The other number will be 43-22 =21\r<BR>\n" );
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document.write( "The smaller number is 21\r<BR>\n" );
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