document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=906545>Question 906545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man is 2 years older than his sister. Thirty years ago he was 3 times as old as her. How old is the man now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550024 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man is 2 years older than his sister.<BR>\n" );
document.write( " Thirty years ago he was 3 times as old as her.<BR>\n" );
document.write( " How old is the man now?<BR>\n" );
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document.write( "let m = the man's age<BR>\n" );
document.write( "let s = the sisters' age<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( "\"A man is 2 years older than his sister.'<BR>\n" );
document.write( "m = s + 2<BR>\n" );
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document.write( "\" Thirty years ago he was 3 times as old as her.\"<BR>\n" );
document.write( "m - 30 = 3(s - 30)<BR>\n" );
document.write( "m - 30 = 3s - 90<BR>\n" );
document.write( "m = 3s - 90 + 30<BR>\n" );
document.write( "m = 3s - 60<BR>\n" );
document.write( "Replace m with (s+2), from the 1st statement<BR>\n" );
document.write( "s + 2 = 3s - 60<BR>\n" );
document.write( "2 + 60 = 3s - s<BR>\n" );
document.write( "62 = 2s<BR>\n" );
document.write( "s = 62/2<BR>\n" );
document.write( "s = 31 yrs is the sister's age<BR>\n" );
document.write( "then<BR>\n" );
document.write( "m = 31 + 2<BR>\n" );
document.write( "m = 33 is the man's age<BR>\n" );
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document.write( "Confirm this using the statement:<BR>\n" );
document.write( "\"Thirty years ago he was 3 times as old as her.\"<BR>\n" );
document.write( "33 - 30 = 3(31 - 30)<BR>\n" );
document.write( "3 = 3(1)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );