document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=687506>Question 687506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Paul is 7 years older than his brother. The product of their ages is 30. How old is Paul? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425178 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=425178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Paul is 7 years older than his brother. The product of their ages is 30. How old is Paul?<BR>\n" );
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document.write( "Equations:'<BR>\n" );
document.write( "p = b + 7<BR>\n" );
document.write( "p*b = 30<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute for \"p\" and solve for \"b\":<BR>\n" );
document.write( "(b+7)b = 30<BR>\n" );
document.write( "b^2 + 7b = 30<BR>\n" );
document.write( "b^2 + 7b - 30 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "b^2 + 10b-3b - 30 = 0<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "b(b+10) -3(b+10) = 0<BR>\n" );
document.write( "(b+10)(b-3) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "b = 3 yrs. (brother's age)<BR>\n" );
document.write( "p = b+7 = 10 yrs (Paul's age)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );