document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=573595>Question 573595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hans is 3 years younger than his brother emil. in 8 years the sum of their ages will be 61. how old is hans  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368817 by </B><A HREF=/tutors/aboutme.mpl?userid=mathsmiles><B>mathsmiles(68)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathsmiles><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=mathsmiles><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need 2 variables, one for Hans (H) age and one for his brother Emil (E) age.\r<BR>\n" );
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document.write( "H = E-3.  Hans is 3 yrs younger than Emil.\r<BR>\n" );
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document.write( "In 8 years, Hans will be H+8 and Emil will be E+8.<BR>\n" );
document.write( "At that time, the sum of their ages will be 61.<BR>\n" );
document.write( "(H+8) + (E+8) = 61\r<BR>\n" );
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document.write( "Now substitute (E-3) from above for H in the above equation:<BR>\n" );
document.write( "((E-3)+8) + (E+8) = 61<BR>\n" );
document.write( "Since this is all addition, we can remove the parens without any harm.  <BR>\n" );
document.write( "E - 3 + 8 + E + 8 = 61\r<BR>\n" );
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document.write( "Using the commutative law, let's re-order the terms:<BR>\n" );
document.write( "E + E - 3 + 8 + 8 = 61<BR>\n" );
document.write( "2E + 13 = 61<BR>\n" );
document.write( "Subtracting 13 from both sides:<BR>\n" );
document.write( "2E = 48<BR>\n" );
document.write( "Dividing by 2 on both sides:<BR>\n" );
document.write( "E = 24\r<BR>\n" );
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document.write( "Emil is 24; his brother is 3 years younger, so is 21.\r<BR>\n" );
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document.write( "Let's check out answer:<BR>\n" );
document.write( "In 8 years, Emil will be 24 + 8 = 32; Hans will be 21 + 8 = 29<BR>\n" );
document.write( "Adding their ages gives<BR>\n" );
document.write( "32 + 29 = 61  <BR>\n" );
document.write( "61 = 61  Correct! </SPAN>\n" );
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