document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073860>Question 1073860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the sum of two positive integers is 24 and the difference of their squares is 48. What is the product of 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 #688665 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=688665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the sum of two positive integers is 24<BR>\n" );
document.write( "a + b = 24<BR>\n" );
document.write( "a = (-b+24)<BR>\n" );
document.write( " and the difference of their squares is 48.<BR>\n" );
document.write( "a^2 - b^2 = 48<BR>\n" );
document.write( "replace a with (-b+24)<BR>\n" );
document.write( "(-b+24)^2 - b^2 = 24<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "b^2 - 48b + 576 - b^2 = 48<BR>\n" );
document.write( "-48b = 48 - 576<BR>\n" );
document.write( "-48b = -528<BR>\n" );
document.write( "b = -528/-48<BR>\n" );
document.write( "b = +11<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a = -11 + 24<BR>\n" );
document.write( "b = 13<BR>\n" );
document.write( ":<BR>\n" );
document.write( " What is the product of the two integers? <BR>\n" );
document.write( "11 * 13 = 143<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check: 13^2 - 11^2 = 48  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );