document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203653>Question 203653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bob Hope was born 2 years after Clark<BR>\n" );
document.write( "Gable and 2 years before Henry Fonda (Doubleday<BR>\n" );
document.write( "Almanac). In 1951, after all three of them had their<BR>\n" );
document.write( "Birthdays, the sum of their ages was 144. In what year were they born?<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 #153661 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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=153661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK, here goes:\r<BR>\n" );
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document.write( "Bob Hope we'll call \"B\"<BR>\n" );
document.write( "Clark Gable we'll call \"C\"<BR>\n" );
document.write( "Henry Fonda we'll call \"H\"\r<BR>\n" );
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document.write( "Soo..... \r<BR>\n" );
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document.write( "Bob is 2 years younger than Clark so in other words, <BR>\n" );
document.write( "Clark is 2 years older than Bob, which we would write as:  C = B + 2\r<BR>\n" );
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document.write( "Bob = 2 years older than Henry so in other words, <BR>\n" );
document.write( "Henry is 2 years younger than Bob, which we would write as:  H = B - 2.\r<BR>\n" );
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document.write( "Now in 1951, their ages added up to be:  144 years.  We would say........\r<BR>\n" );
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document.write( "B + H + C = 144  BUT that is THREE variables.  Let's use substitution and change the equation.  \r<BR>\n" );
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document.write( "We know from above that C = B + 2.<BR>\n" );
document.write( "We know from above that H = B - 2. <BR>\n" );
document.write( "Now let's substitute:\r<BR>\n" );
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document.write( "B + H + C = 144\r<BR>\n" );
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document.write( "B + B - 2 + B + 2 = 144 (See how we substituted in the info for H and C?)<BR>\n" );
document.write( "3B = 144 (We combined like terms.  B + B + B = 3B.   -2 + 2 = 0)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283B%2F3%29 ALIGN=MIDDLE  ALT=\"%283B%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2F3 ALIGN=MIDDLE  ALT=\"144%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (Divided both sides by 3 to isolate \"B\")<BR>\n" );
document.write( "B = 48.\r<BR>\n" );
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document.write( "SO we know that in 1951, Bob was 48 years old.  <BR>\n" );
document.write( "Bob is two years younger than Clark, so Clark must have been 50 in 1951.<BR>\n" );
document.write( "Henry is two years younger than Bob, so Henry must have been 46 in 1951. \r<BR>\n" );
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document.write( "Let's check.  Does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48+%2B+50+%2B+46+=+144 ALIGN=MIDDLE  ALT=\"48+%2B+50+%2B+46+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  YES! :-)  But we're not done!\r<BR>\n" );
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document.write( "When were they born?  Well those were their ages in 1951, so let's subtract all those ages from 1951 to see when they were born.............\r<BR>\n" );
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document.write( "1951 - 48 = 1903   (BOB)<BR>\n" );
document.write( "1951 - 50 = 1901   (CLARK)<BR>\n" );
document.write( "1951 - 46 = 1905   (HENRY)\r<BR>\n" );
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document.write( "AND... if you need a further check, just go to internet movie database. :-)\r<BR>\n" );
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document.write( "Anyway, these three years check out with math (and ok, with imdb, too).\r<BR>\n" );
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document.write( "I hope this helps you. :-)\r<BR>\n" );
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