document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=513455>Question 513455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> john is older than his cousin bill.  bill's age is 3 years more than one half the age of john.  if the difference in their ages is less than four years, what is the oldest that john can be in whole number of years? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343025 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=343025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Let Bill’s age be B, and John’s J. Then we can say that: <BR>\n" );
document.write( "B = ½J + 3 -------- eq (i)<BR>\n" );
document.write( "J – B < 4 --------- eq (ii)\r<BR>\n" );
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document.write( "Substitute (½J + 3) for B in eq (ii) to get: \r<BR>\n" );
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document.write( "J – (½J + 3) < 4<BR>\n" );
document.write( "J - ½J – 3 < 4<BR>\n" );
document.write( "J - ½J < 4 + 3 <BR>\n" );
document.write( "½J < 7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28J%2F2%29+%3C+7 ALIGN=MIDDLE  ALT=\"%28J%2F2%29+%3C+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "J, or John's age is < 14 ------- Cross-multiplying    \r<BR>\n" );
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document.write( "Thus, the oldest John can be in whole-number of years is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2813%29 ALIGN=MIDDLE  ALT=\"highlight_green%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Bill = ½J + 3 ------ Bill = ½(13) + 3 = 6.5 + 3 = 9.5\r<BR>\n" );
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document.write( "John – Bill < 4 ----- 13 – 9.5 < 4 (TRUE)\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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