document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133494>Question 1133494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jose is old as Edwin will be when Jose is twice as old as Edwin was when Jose's age was half the sum of their present ages. Edwin is as old as Jose was when Edwin was half the age he will be ten years from now. How old is Jose? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #750741 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=750741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Jose's age now<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Edwin's age now<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "For some reason, I like to this particular type<BR>\n" );
document.write( "of problem from the end to the beginning.<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "\" when Edwin was half the age he will be ten years from now.\"<BR>\n" );
document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yrs, Edwin will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+10+ ALIGN=MIDDLE  ALT=\"+b+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Half of that is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+b+%2B+10+%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28+b+%2B+10+%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "\" Edwin is as old as Jose was . . .\"<BR>\n" );
document.write( "I'll assume that Jose' is the older one<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+b+%2B+10+%29%2F2+%2B+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+b+=+%28+b+%2B+10+%29%2F2+%2B+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I put in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+b+ ALIGN=MIDDLE  ALT=\"+a+-+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the difference in their ages<BR>\n" );
document.write( "never changes<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "\" when Jose's age was half the sum of their present ages. \"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a+%2B+b+%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28+a+%2B+b+%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "\" when Jose is twice as old as Edwin was. . . \"<BR>\n" );
document.write( "Edwin was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a+%2B+b+%29%2F2+-+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+%28+a+%2B+b+%29%2F2+-+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\" when Jose is \"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+%28+a+%2B+b+%29%2F2+-+%28+a+-+b+%29+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+%28+a+%2B+b+%29%2F2+-+%28+a+-+b+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "\" Jose is old as Edwin will be . . \"<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+2%2A%28+%28+a%2B+b+%29%2F+2+-+%28+a+-+b+%29+%29+-+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+a+=+2%2A%28+%28+a%2B+b+%29%2F+2+-+%28+a+-+b+%29+%29+-+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "I have 2 equations with 2 unknowns, so it's solvable<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+a+%2B+b+-+2%2A%28+a+-+b+%29+-+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+a+=+a+%2B+b+-+2%2A%28+a+-+b+%29+-+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+a+%2B+b+-+2a+%2B+2b+-+a+%2B+b+ ALIGN=MIDDLE  ALT=\"+a+=+a+%2B+b+-+2a+%2B+2b+-+a+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+4b+-+2a+ ALIGN=MIDDLE  ALT=\"+a+=+4b+-+2a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+=+4b+ ALIGN=MIDDLE  ALT=\"+3a+=+4b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%283%2F4%29%2Aa+ ALIGN=MIDDLE  ALT=\"+b+=+%283%2F4%29%2Aa+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+b+%2B+10+%29%2F2+%2B+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+b+=+%28+b+%2B+10+%29%2F2+%2B+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b+=+b+%2B+10+%2B+2%2A%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+2b+=+b+%2B+10+%2B+2%2A%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b+=+b+%2B+10+%2B+2a+-+2b+ ALIGN=MIDDLE  ALT=\"+2b+=+b+%2B+10+%2B+2a+-+2b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b+=+2a+-+b+%2B+10+ ALIGN=MIDDLE  ALT=\"+2b+=+2a+-+b+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3b+=+2a+%2B+10+ ALIGN=MIDDLE  ALT=\"+3b+=+2a+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%283%2F4%29%2Aa+=+2a+%2B+10+ ALIGN=MIDDLE  ALT=\"+3%2A%283%2F4%29%2Aa+=+2a+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a+=+8a+%2B+40+ ALIGN=MIDDLE  ALT=\"+9a+=+8a+%2B+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+40+ ALIGN=MIDDLE  ALT=\"+a+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Jose' is 40 yrs old<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%283%2F4%29%2Aa+ ALIGN=MIDDLE  ALT=\"+b+=+%283%2F4%29%2Aa+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%283%2F4%29%2A40+ ALIGN=MIDDLE  ALT=\"+b+=+%283%2F4%29%2A40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+30+ ALIGN=MIDDLE  ALT=\"+b+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\" when Edwin was half the age he will be ten years from now.\"<BR>\n" );
document.write( "Edwin was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+30+%2B+10+%29%2F2+=+20+ ALIGN=MIDDLE  ALT=\"+%28+30+%2B+10+%29%2F2+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > yrs old<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "\" Edwin is as old as Jose was . . .\"<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%28+b+%2B+10+%29%2F2+%2B+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+b+=+%28+b+%2B+10+%29%2F2+%2B+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+=+20+%2B+%28+40+-+30+%29+ ALIGN=MIDDLE  ALT=\"+30+=+20+%2B+%28+40+-+30+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+=+20+%2B+10+ ALIGN=MIDDLE  ALT=\"+30+=+20+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "\" when Jose's age was half the sum of their present ages. \"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+40+%2B+30+%29%2F2+=+35+ ALIGN=MIDDLE  ALT=\"+%28+40+%2B+30+%29%2F2+=+35+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "\" when Jose is twice as old as Edwin was. . . \"<BR>\n" );
document.write( "Edwin was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a+%2B+b+%29%2F2+-+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+%28+a+%2B+b+%29%2F2+-+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+35+-+%28+40+-+30+%29+=+25+ ALIGN=MIDDLE  ALT=\"+35+-+%28+40+-+30+%29+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "\" when Jose is \"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+%28+a+%2B+b+%29%2F2+-+%28+a+-+b+%29+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+%28+a+%2B+b+%29%2F2+-+%28+a+-+b+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A25+=+50+ ALIGN=MIDDLE  ALT=\"+2%2A25+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "\" Jose is old as Edwin will be . . \"<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+2%2A%28+%28+a%2B+b+%29%2F+2+-+%28+a+-+b+%29+%29+-+%28+a+-+b+%29+ ALIGN=MIDDLE  ALT=\"+a+=+2%2A%28+%28+a%2B+b+%29%2F+2+-+%28+a+-+b+%29+%29+-+%28+a+-+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+50+-+%28+40+-+30+%29+ ALIGN=MIDDLE  ALT=\"+40+=+50+-+%28+40+-+30+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+=+50+-+10+ ALIGN=MIDDLE  ALT=\"+40+=+50+-+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "Seems to check out. Get another opinion if needed\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );