document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278519>Question 278519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the ages of mike and dan is 20 years. in 4 years, dan's age will be three-fourths of mike's age. how old is mike now?<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 #202683 by </B><A HREF=/tutors/aboutme.mpl?userid=Anthea+Lawn><B>Anthea Lawn(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Anthea+Lawn><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=202683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let m = mikes age, d = dans age.\r<BR>\n" );
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document.write( "from the first statement : m+d = 20   so   d = 20-m\r<BR>\n" );
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document.write( "from the second statement  (3/4)(m+4) = d+4<BR>\n" );
document.write( "working a bit on the second statement gives :\r<BR>\n" );
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document.write( "3(m+4) = 4(d+4)<BR>\n" );
document.write( "3m + 12 = 4d + 16<BR>\n" );
document.write( "3m = 4d + 4\r<BR>\n" );
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document.write( "substituting from the first statement :\r<BR>\n" );
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document.write( "3m = 4(20-m) + 4\r<BR>\n" );
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document.write( "3m = 80 - 4m + 4<BR>\n" );
document.write( "7m = 84<BR>\n" );
document.write( "m = 12\r<BR>\n" );
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document.write( "So Mike is 12 and Dan is 8 </SPAN>\n" );
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