document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179292>Question 179292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of 4 times Joan's age and 3 times Jim's age is 47. Jim is 1 year less than twice as old as Joan. Find each of their ages. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134327 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Let Joan's age be represented by <i>x</i>.  Then four times Joan's age would be 4<i>x</i>.\r<BR>\n" );
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document.write( "Let Jim's age be represented by <i>y</i>.  Then three times Jim's age would be 3<i>y</i>.\r<BR>\n" );
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document.write( "Four times Joan's age (4<i>x</i>), the sum of (+), three times Jim's age (3<i>y</i>) is (=) 47.  So:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4x + 3y = 47\">\r<BR>\n" );
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document.write( "Jim is (<i>y</i> =) one year less than twice as old as Joan (2<i>x</i> - 1). So: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y = 2x - 1\">\r<BR>\n" );
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document.write( "Substitute 2<i>x</i> - 1 for <i>y</i> in <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4x + 3y = 47\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\text {         } \math \Large 4x + 3(2x - 1) = 47\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\text {         } \math \Large 4x + 6x - 3 = 47\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\text {         } \math \Large 10x = 50\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\text {         } \math \Large x = 5\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\text {         } \math \Large y = 2(5) - 1 = 9\">\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\text {         } \math \Large 4(5) + 3(9) = 20 + 27 = 47\"> Answer checks.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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document.write( " </SPAN>\n" );
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