document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102516>Question 102516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom is 4 times as old as Todd. In 3 years Tom's age will be 13 years more than 2 times as old as Todd. How old is Tom? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74585 by </B><A HREF=/tutors/aboutme.mpl?userid=mjgulinello><B>mjgulinello(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mjgulinello><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=74585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let m = Tom's age<BR>\n" );
document.write( "Let d = Todd's age\r<BR>\n" );
document.write( "\n" );
document.write( "Now we have to write equations that compare their ages.<BR>\n" );
document.write( "We know tom is 4 times as old as Todd, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+4d ALIGN=MIDDLE  ALT=\"m+=+4d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We also know in 3 years Tom's age will be 13 years more than 2 times as old as Todd, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+%2B+3+=+2%28d%2B3%29+%2B+13 ALIGN=MIDDLE  ALT=\"m+%2B+3+=+2%28d%2B3%29+%2B+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can plug the first equation into the second to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4d+%2B+3+=+2%28d%2B3%29+%2B+13 ALIGN=MIDDLE  ALT=\"4d+%2B+3+=+2%28d%2B3%29+%2B+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the distributive property on the right side of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4d+%2B+3+=+2d%2B6+%2B+13 ALIGN=MIDDLE  ALT=\"4d+%2B+3+=+2d%2B6+%2B+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4d+%2B+3+=++2d+%2B+19 ALIGN=MIDDLE  ALT=\"4d+%2B+3+=++2d+%2B+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 2d from each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2d+%2B+3+=+19 ALIGN=MIDDLE  ALT=\"2d+%2B+3+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 3 from each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2d+=+16 ALIGN=MIDDLE  ALT=\"2d+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide each side by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+8 ALIGN=MIDDLE  ALT=\"d+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So we now know Todd is 8. We can plug that in to find Tom's age.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+4+%2A+8 ALIGN=MIDDLE  ALT=\"m+=+4+%2A+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+32 ALIGN=MIDDLE  ALT=\"m+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Tom is 32.<BR>\n" );
document.write( "We can check this by using the second equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+%2B+3+=+2%28d%2B3%29+%2B+13 ALIGN=MIDDLE  ALT=\"m+%2B+3+=+2%28d%2B3%29+%2B+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32+%2B+3+=+2%288%2B3%29+%2B+13 ALIGN=MIDDLE  ALT=\"32+%2B+3+=+2%288%2B3%29+%2B+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35+=+2+%2A+11+%2B+13 ALIGN=MIDDLE  ALT=\"35+=+2+%2A+11+%2B+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35+=+22+%2B+13 ALIGN=MIDDLE  ALT=\"35+=+22+%2B+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35+=+35 ALIGN=MIDDLE  ALT=\"35+=+35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check.<BR>\n" );
document.write( "That's all for this problem.<BR>\n" );
document.write( "-Mike </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );