document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039572>Question 1039572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My problem is:<BR>\n" );
document.write( "Walter is 43 years old; his daughter Paulette is 7.  In how many years will Paulette be one-third of Walter's age?<BR>\n" );
document.write( "I'm afraid I don't know how to set it up. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654330 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=654330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <BR>\n" );
document.write( "x = number of years that pass by\r<BR>\n" );
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document.write( "Walter is currently 43 years old. His daughter Paulette is currently 7 years old.\r<BR>\n" );
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document.write( "Present Ages<BR>\n" );
document.write( "walter = 43<BR>\n" );
document.write( "paulette = 7\r<BR>\n" );
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document.write( "If we fast foward x years into the future, this means <BR>\n" );
document.write( "walter's age = 43+x<BR>\n" );
document.write( "paulette's age = 7+x<BR>\n" );
document.write( "simply add x to each value\r<BR>\n" );
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document.write( "We want to know when these future ages will be tied together through the following idea<BR>\n" );
document.write( "(paulette's age) = (1/3)*(walter's age)\r<BR>\n" );
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document.write( "which is equivalent to saying\r<BR>\n" );
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document.write( "(walter's age) = (3)*(paulette's age)\r<BR>\n" );
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document.write( "So this means \r<BR>\n" );
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document.write( "(walter's age) = (3)*(paulette's age)\r<BR>\n" );
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document.write( "(43+x) = (3)*(7+x)          ........ apply substitutions\r<BR>\n" );
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document.write( "43+x = 3*7+3*x\r<BR>\n" );
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document.write( "43+x = 21 + 3x\r<BR>\n" );
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document.write( "43+x-x = 21 + 3x-x\r<BR>\n" );
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document.write( "43 = 21 + 2x\r<BR>\n" );
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document.write( "43-21 = 21 + 2x-21\r<BR>\n" );
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document.write( "22 = 2x\r<BR>\n" );
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document.write( "2x = 22\r<BR>\n" );
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document.write( "2x/2 = 22/2\r<BR>\n" );
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document.write( "x = 11\r<BR>\n" );
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document.write( "So if 11 years pass by, then Walter will be 43+11 = 54 while Paulette will be 7+11 = 18. Notice how 18*3 = 54. Put another way, 18 is one-third of 54.\r<BR>\n" );
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document.write( "So the final answer is 11 years.  </SPAN>\n" );
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