document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129692>Question 1129692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Clyde's age is 11 years more than thrice Bonnie's age. If the product of their ages is 60, how old is clyde? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746279 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are many different ways to solve this problem using formal algebra.  All of them result in a quadratic equation that needs to be factored to solve the problem.<br><BR>\n" );
document.write( "One response you have received shows the work up to \"c(c-11)=180\" and then gives the (wrong) answers without showing how the equation was solved.<br><BR>\n" );
document.write( "A different formal algebraic solution I tried ends up with an uglier quadratic equation which is even harder to solve by factoring.<br><BR>\n" );
document.write( "But if a formal algebraic solution is not required, the original problem can be solved with logical trial and error, requiring mathematics that is far simpler than any algebraic solution.<br><BR>\n" );
document.write( "The original problem requires you to find two whole numbers whose product is 60, with one of the numbers being 11 more than 3 times the other.<br><BR>\n" );
document.write( "There aren't a lot of pairs of whole numbers whose product is 60; and the requirement that one of them be MUCH larger than the other leaves only a couple of possibilities to try: 2 and 30, or 3 and 20.<br><BR>\n" );
document.write( "The pair 3 and 20 satisfies the second requirement; it is the answer. </SPAN>\n" );
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