document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167690>Question 1167690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ryan is 44 years younger than Katie. 6 years ago, Katie's age was 3 times Ryan's age. How old is Ryan now?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792281 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=792281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Algebraically....<br><BR>\n" );
document.write( "x = Ryan's age<BR>\n" );
document.write( "x+44 = Katie's age<BR>\n" );
document.write( "x-6 = Ryan's age 6 years ago<BR>\n" );
document.write( "x+44-6 = x+38 = Katie's age 6 years ago<br><BR>\n" );
document.write( "Katie's age 6 years ago was 3 times Ryan's age then:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B38+=+3%28x-6%29 ALIGN=MIDDLE  ALT=\"x%2B38+=+3%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra; I leave that to you.<br><BR>\n" );
document.write( "Using logical reasoning and some easy mental arithmetic....<br><BR>\n" );
document.write( "6 years ago, Katie's age was 3 times Ryan's age.  Let their ages then be 3x and x; the difference in their ages is 2x.<br><BR>\n" );
document.write( "The difference in their ages is 44 years.  So 6 years ago<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+44 ALIGN=MIDDLE  ALT=\"2x+=+44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+22 ALIGN=MIDDLE  ALT=\"x+=+22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So their ages 6 years ago were x=22 and 3x=66.<br><BR>\n" );
document.write( "So their ages now are 22+6=28 and 66+6=72.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );