document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176258>Question 1176258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ethan is 23 years older than Evan. If the sum of Ethan and Evan’s age is 43, how old are Ethan and Evan? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #802735 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=802735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "First an informal solution using logical reasoning....<br><BR>\n" );
document.write( "(1) Subtract 23 years from Ethan's age, making the two of them the same age; the sum of their ages is now 43-23 = 20.<BR>\n" );
document.write( "(2)That means the age of each of them is 20/2 = 10 years.<BR>\n" );
document.write( "(3) Now add those 23 years back on to Ethan's age, making his age 10+23 = 33.<BR>\n" );
document.write( "ANSWERS: Ethan is 33; Evan is 10.<br><BR>\n" );
document.write( "With formal algebra....<br><BR>\n" );
document.write( "let x be Evan's age<BR>\n" );
document.write( "then x+23 is Ethan's age<br><BR>\n" );
document.write( "The sum of their ages is 43:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%2B%28x%2B23%29+=+43 ALIGN=MIDDLE  ALT=\"%28x%29%2B%28x%2B23%29+=+43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B23+=+43 ALIGN=MIDDLE  ALT=\"2x%2B23+=+43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+20 ALIGN=MIDDLE  ALT=\"2x+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10 ALIGN=MIDDLE  ALT=\"x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "Evan's age: x = 10<BR>\n" );
document.write( "Ethan's age: x+23 = 33<br><BR>\n" );
document.write( "Observe that the formal algebra does EXACTLY the same calculations as the solution using logical reasoning....<br><BR>\n" );
document.write( " </SPAN>\n" );
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