document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148017>Question 1148017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm really stuck on the below question and I've been coming back to it with different ways to complete it but just can't wrap my head around it. Many thanks. \r<BR>\n" );
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document.write( "John is one year older than Pat. Mary is twice as old as John. The sum of their age is 63. How old is John.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #769380 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=769380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let j = the age of john<BR>\n" );
document.write( "let p = the age of pat<BR>\n" );
document.write( "let m = the age of mary<BR>\n" );
document.write( "let s = the sum of their ages<BR>\n" );
document.write( "then s = j + p + m\r<BR>\n" );
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document.write( "john is one year older than pat.<BR>\n" );
document.write( "this get you j = p + 1<BR>\n" );
document.write( "solve for p to get p = j - 1\r<BR>\n" );
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document.write( "mary is twice the age of john.<BR>\n" );
document.write( "this gets you m = 2 * j\r<BR>\n" );
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document.write( "the sum of their ages is 63.<BR>\n" );
document.write( "this gets you s = 63.<BR>\n" );
document.write( "since s = j + p + m, then j + p + m = 63.<BR>\n" );
document.write( "since p = j - 1 and m = 2 * j, then j + p + m = 63 becomes:<BR>\n" );
document.write( "j + j - 1 + 2 * j = 63<BR>\n" );
document.write( "add 1 to both sides of this equation to get:<BR>\n" );
document.write( "j + j + 2 * j = 64<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "4 * j = 64<BR>\n" );
document.write( "solve for j to get:<BR>\n" );
document.write( "j = 16\r<BR>\n" );
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document.write( "since p = j - 1, then p = 15<BR>\n" );
document.write( "since m = 2 * j, then m = 32\r<BR>\n" );
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document.write( "you get:<BR>\n" );
document.write( "j = 16<BR>\n" );
document.write( "p = 15<BR>\n" );
document.write( "m = 32\r<BR>\n" );
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document.write( "s = j + p + m becomes sum s = 16 + 15 + 32 which becomes s = 63<BR>\n" );
document.write( "j = p + 1 becomes j = 15 + 1 which becomes j = 16<BR>\n" );
document.write( "m = 2 * j becomes m = 2 * 16 which becomes m = 32\r<BR>\n" );
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document.write( "john is 16<BR>\n" );
document.write( "pat is 15<BR>\n" );
document.write( "mary is 32<BR>\n" );
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