document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313048>Question 313048</A>: <I><SPAN STYLE=\"word-break: break-all;\"> amandas age is 8 yrs older than kim. if the product of thier age is 105 yrs, what are their ages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223866 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=223866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> amandas age is 8 yrs older than kim. if the product of thier age is 105 yrs, what are their ages?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "a = k + 8<BR>\n" );
document.write( "ak = 105<BR>\n" );
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document.write( "Substitute for \"a\" and solve for \"k\":<BR>\n" );
document.write( "k(k+8) = 105<BR>\n" );
document.write( "k^2 + 8k - 105 = 0<BR>\n" );
document.write( "(k+15)(k-7) = 0<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Positive Solution:<BR>\n" );
document.write( "k = 7 (Kim's age now)<BR>\n" );
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document.write( "Since a = k+8, a = 15 (amanda's age now)<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" );