document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82784>Question 82784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PROBLEM\r<BR>\n" );
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document.write( "A woman is 5 years older than her husband and 10 times as old as their daughter. In 14 years, the sum of their ages will be 100. How old is each one now?<BR>\n" );
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document.write( "Woman= h+5                   <BR>\n" );
document.write( "Husband= h                      <BR>\n" );
document.write( "Daughter=h+5/10(I think)         <BR>\n" );
document.write( "        +________                 <BR>\n" );
document.write( "          100 \r<BR>\n" );
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document.write( "(h+5)+(h)+(h+5/10)=100<BR>\n" );
document.write( "  2h+5+(h+5/10)=100<BR>\n" );
document.write( "    3h+10=1000<BR>\n" );
document.write( "    3h/3=990/3<BR>\n" );
document.write( "      h=330\r<BR>\n" );
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document.write( "My question is what did i do wrong I know that this is way too high of a number and I can't figure out where I went wrong.   Thanks<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59377 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=59377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w=woman, h=husband, d=daughter\r<BR>\n" );
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document.write( "Set up the following equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=h%2B5 ALIGN=MIDDLE  ALT=\"w=h%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \"A woman is 5 years older than her husband\". Notice if h=30, w=40 which is 10 years older.Solving for h we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=w-5 ALIGN=MIDDLE  ALT=\"h=w-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=10d ALIGN=MIDDLE  ALT=\"w=10d\"   DISABLED_style= \"max-width:90%; height:auto;\" > \"the woman is 10 times as old as their daughter\". Notice if d=2, then w=20 which means the woman is 10 times older. Solving for d we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=w%2F10 ALIGN=MIDDLE  ALT=\"d=w%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So in 14 years the woman's age is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=w%2B14 ALIGN=MIDDLE  ALT=\"w=w%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In 14 years the husband's age is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=h%2B14 ALIGN=MIDDLE  ALT=\"h=h%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and in 14 years the daughter's age is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=d%2B14 ALIGN=MIDDLE  ALT=\"d=d%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Adding these together we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B14%29%2B%28h%2B14%29%2B%28d%2B14%29=100 ALIGN=MIDDLE  ALT=\"%28w%2B14%29%2B%28h%2B14%29%2B%28d%2B14%29=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B14%29%2B%28%28w-5%29%2B14%29%2B%28%28w%2F10%29%2B14%29=100 ALIGN=MIDDLE  ALT=\"%28w%2B14%29%2B%28%28w-5%29%2B14%29%2B%28%28w%2F10%29%2B14%29=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=w-5 ALIGN=MIDDLE  ALT=\"h=w-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=w%2F10 ALIGN=MIDDLE  ALT=\"d=w%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > (we solved for these earlier). This eliminates every variable but w, which means we can solve for w now.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%2B37%2Bw%2F10=100 ALIGN=MIDDLE  ALT=\"2w%2B37%2Bw%2F10=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%282w%2B37%2Bw%2F10%29=10%28100%29 ALIGN=MIDDLE  ALT=\"10%282w%2B37%2Bw%2F10%29=10%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Multiply both sides by 10. This will eliminate the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20w%2B370%2Bw=1000%29 ALIGN=MIDDLE  ALT=\"20w%2B370%2Bw=1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21w%2B370%2Bw=1000%29 ALIGN=MIDDLE  ALT=\"21w%2B370%2Bw=1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21w=630 ALIGN=MIDDLE  ALT=\"21w=630\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 370 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=30 ALIGN=MIDDLE  ALT=\"w=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 21\r<BR>\n" );
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document.write( "So the woman is 30 years old. In 14 years she will be 44 years old. The husband's age is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=w-5 ALIGN=MIDDLE  ALT=\"h=w-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=30-5=25 ALIGN=MIDDLE  ALT=\"h=30-5=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in w=30\r<BR>\n" );
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document.write( "So the husband is 25 now and in 14 years he will be 39. Finally the daughter's age is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=w%2F10 ALIGN=MIDDLE  ALT=\"d=w%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=30%2F10=3 ALIGN=MIDDLE  ALT=\"d=30%2F10=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in w=30\r<BR>\n" );
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document.write( "So the daughter is 3 years old now and in 14 years will be 17 years old. So if we add everyone's future age (ie their age in 14 years) together we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=future_age_woman%2Bfuture_age_husband%2Bfuture_age_daughter=100 ALIGN=MIDDLE  ALT=\"future_age_woman%2Bfuture_age_husband%2Bfuture_age_daughter=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44%2B17%2B39=100 ALIGN=MIDDLE  ALT=\"44%2B17%2B39=100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100=100 ALIGN=MIDDLE  ALT=\"100=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > works\r<BR>\n" );
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document.write( "This verifies our answer. \r<BR>\n" );
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document.write( "note: you forgot to factor in the 14 year time lapse. That would explain the large age answer you got. Also, I'm not sure how you got Daughter=h+5/10 </SPAN>\n" );
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