document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754338>Question 754338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the ages of two brothers is 22 years. Six years ago, the product of their ages was 21 years. Find the age of the elder brother. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459005 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=459005\">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;\" > = the age of the elder brother<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;\" > = the age of the younger brother<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+22+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a+-+6+%29%2A%28+b+-+6+%29+=+21+ ALIGN=MIDDLE  ALT=\"+%28+a+-+6+%29%2A%28+b+-+6+%29+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+21+%2B+1+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+21+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21+=+a+%2B+b+-+1+ ALIGN=MIDDLE  ALT=\"+21+=+a+%2B+b+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this result into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a+-+6+%29%2A%28+b+-+6+%29+=+a+%2B+b+-+1+ ALIGN=MIDDLE  ALT=\"+%28+a+-+6+%29%2A%28+b+-+6+%29+=+a+%2B+b+-+1+\"   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%2Ab+-+6b+-+6a+%2B+36+=+a+%2B+b+-+1+ ALIGN=MIDDLE  ALT=\"+a%2Ab+-+6b+-+6a+%2B+36+=+a+%2B+b+-+1+\"   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%2Ab+-+6b+-+b+-+6a+-+a+%2B+37+=+0+ ALIGN=MIDDLE  ALT=\"+a%2Ab+-+6b+-+b+-+6a+-+a+%2B+37+=+0+\"   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%2Ab+-+7a+-+7b+%2B+37+=+0+ ALIGN=MIDDLE  ALT=\"+a%2Ab+-+7a+-+7b+%2B+37+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-a+%2B+22+ ALIGN=MIDDLE  ALT=\"+b+=+-a+%2B+22+\"   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%2A%28+-a+%2B+22+%29+-+7a+-+7%2A%28+-a+%2B+22+%29+%2B+37+=+0+ ALIGN=MIDDLE  ALT=\"+a%2A%28+-a+%2B+22+%29+-+7a+-+7%2A%28+-a+%2B+22+%29+%2B+37+=+0+\"   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%5E2+%2B+22a+-+7a+%2B+7a+-+154+%2B+37+=+0+ ALIGN=MIDDLE  ALT=\"+-a%5E2+%2B+22a+-+7a+%2B+7a+-+154+%2B+37+=+0+\"   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%5E2+%2B+22a+-117+=+0+ ALIGN=MIDDLE  ALT=\"+-a%5E2+%2B+22a+-117+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+a+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28-22+%2B-+sqrt%28+22%5E2+-+4%2A%28-1%29%2A%28-117%29+%29%29+%2F+%282%2A%28-1%29%29+ ALIGN=MIDDLE  ALT=\"+a+=+%28-22+%2B-+sqrt%28+22%5E2+-+4%2A%28-1%29%2A%28-117%29+%29%29+%2F+%282%2A%28-1%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=+a+=+%28-22+%2B-+sqrt%28+484+-+468+%29%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+a+=+%28-22+%2B-+sqrt%28+484+-+468+%29%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28-22+%2B-+sqrt%28+16+%29%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+a+=+%28-22+%2B-+sqrt%28+16+%29%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28+-22+%2B+4+%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+a+=+%28+-22+%2B+4+%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-18%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"+a+=+-18%2F%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+9+ ALIGN=MIDDLE  ALT=\"+a+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "The other answer is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+%28+-22+-+4+%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+a+=+%28+-22+-+4+%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-26+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+a+=+-26+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+13+ ALIGN=MIDDLE  ALT=\"+a+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll take the larger number since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the elder brother<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-a+%2B+22+ ALIGN=MIDDLE  ALT=\"+b+=+-a+%2B+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-13+%2B+22+ ALIGN=MIDDLE  ALT=\"+b+=+-13+%2B+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+9+ ALIGN=MIDDLE  ALT=\"+b+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The elder brother is 13 <BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+a+-+6+%29%2A%28+b+-+6+%29+=+21+ ALIGN=MIDDLE  ALT=\"+%28+a+-+6+%29%2A%28+b+-+6+%29+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+13+-+6+%29%2A%28+9+-+6+%29+=+21+ ALIGN=MIDDLE  ALT=\"+%28+13+-+6+%29%2A%28+9+-+6+%29+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2A3+=+21+ ALIGN=MIDDLE  ALT=\"+7%2A3+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21+=+21+ ALIGN=MIDDLE  ALT=\"+21+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
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document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );