document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542384>Question 542384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers differ by 7,the different of their squares is 91,find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354649 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two numbers differ by 7,the different of their squares is 91,find the numbers.<BR>\n" );
document.write( "Two numbers: a, b<BR>\n" );
document.write( "a - b = 7<BR>\n" );
document.write( "a = (b+7)<BR>\n" );
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document.write( "a^2 - b^2 = 91<BR>\n" );
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document.write( "Replace a with (b+7)<BR>\n" );
document.write( "(b+7)^2 - b^2 = 91<BR>\n" );
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document.write( "FOIL (b+7)(b+7)<BR>\n" );
document.write( "b^2 + 14b + 49 - b^2 = 91<BR>\n" );
document.write( "b^2 - b^2 + 14b = 91 - 49<BR>\n" );
document.write( "14b = 42<BR>\n" );
document.write( "b = 42/14<BR>\n" );
document.write( "b = 3<BR>\n" );
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document.write( "Find a<BR>\n" );
document.write( "a = 3 + 7<BR>\n" );
document.write( "a = 10<BR>\n" );
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document.write( "Check: 10^2 - 3^2 = 91<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );