document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168683>Question 1168683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kerwins father is 4 years more than five times as old as him.the product og their ages in years is 204.how old is kerwin? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793275 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=793275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Solve informally and quickly by looking at pairs of positive integers with a product of 204 and finding a pair that satisfies the other condition.<br><BR>\n" );
document.write( "1*204<BR>\n" );
document.write( "2*102<BR>\n" );
document.write( "3*68<BR>\n" );
document.write( "4*51<BR>\n" );
document.write( "6*34<BR>\n" );
document.write( "12*17<br><BR>\n" );
document.write( "34 is 4 more then 5 times 6....<br><BR>\n" );
document.write( "ANSWER: Kerwin is 6 (his father is 34)<br><BR>\n" );
document.write( "Suppose a formal algebraic solution was required.  Then<br><BR>\n" );
document.write( "x = Kerwin's age<BR>\n" );
document.write( "5x+4 = father's age<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%285x%2B4%29+=+204 ALIGN=MIDDLE  ALT=\"x%285x%2B4%29+=+204\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B4x+=+204 ALIGN=MIDDLE  ALT=\"5x%5E2%2B4x+=+204\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2%2B4x-204+=+0 ALIGN=MIDDLE  ALT=\"5x%5E2%2B4x-204+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You could try to factor that; but for most students that would be difficult.<br><BR>\n" );
document.write( "You could of course go straight to the quadratic formula to find the answer.  The use of the formula is straightforward; but in this case the required calculations are not easy.<br><BR>\n" );
document.write( "So at this point, I personally would go to the informal solution shown above to find the answer is x=6, and then I would continue with the formal algebraic solution.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%285x%2B34%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-6%29%285x%2B34%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6 ALIGN=MIDDLE  ALT=\"x+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );