document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472730>Question 472730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Half of Henry's age added to 1/3 of Daisy's age is 11 years, 6 years from now the sum of their ages will be 40 years. How old is each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324133 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Half of Henry's age added to 1/3 of Daisy's age is 11 years, <BR>\n" );
document.write( "6 years from now the sum of their ages will be 40 years.<BR>\n" );
document.write( " How old is each?<BR>\n" );
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document.write( "Let h = Henry's age<BR>\n" );
document.write( "Let d = Daisy's age<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"Half of Henry's age added to 1/3 of Daisy's age is 11 years,\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >h + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >d = 11<BR>\n" );
document.write( "Get rid of the fractions, multiply eq by 6, results:<BR>\n" );
document.write( "3h + 2d = 66<BR>\n" );
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document.write( "\"6 years from now the sum of their ages will be 40 years.\"<BR>\n" );
document.write( "(h+6) + (d+6) = 40<BR>\n" );
document.write( "h + d + 12 = 40<BR>\n" );
document.write( "h + d = 40 - 12<BR>\n" );
document.write( "h + d = 28<BR>\n" );
document.write( "h = (28-d); we can use this for substitution<BR>\n" );
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document.write( "Replace h with (28-d) in the 1st equation<BR>\n" );
document.write( "3(28-d) + 2d = 66<BR>\n" );
document.write( "84 - 3d + 2d = 66<BR>\n" );
document.write( "-3d + 2d = 66 - 84<BR>\n" );
document.write( "-d = -18<BR>\n" );
document.write( "d = 18 yrs is Daisy's age<BR>\n" );
document.write( "then<BR>\n" );
document.write( "h = 28 - 18<BR>\n" );
document.write( "h = 10 yrs is Henry's age<BR>\n" );
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document.write( "Check solutions in the 1st statement<BR>\n" );
document.write( "\"half of Henry's age added to 1/3 of Daisy's age is 11 years,\"<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(10) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(18) = 11<BR>\n" );
document.write( "5 + 6 = 11<BR>\n" );
document.write( " </SPAN>\n" );
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