document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977269>Question 977269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. A has four children, namely, P, Q, R, and S.   Q is currently twice the age of S.  Two years ago, P was twice the age of R.  Four years ago, Q was twice the age of R.  Two years from now, P would be twice the age of S.  Three years ago, R was twice the age of S.  Mrs. A current age is the sum of her children's current age.   <BR>\n" );
document.write( "What are the current ages of Mrs. A and her children P, Q, R, & S.<BR>\n" );
document.write( "Need help to form the equation to solve the problem.\r<BR>\n" );
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document.write( "Answer<BR>\n" );
document.write( "p 12<BR>\n" );
document.write( "q 10<BR>\n" );
document.write( "r 7<BR>\n" );
document.write( "s 5<BR>\n" );
document.write( "A 34\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598805 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=598805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mrs. A has four children, namely, P, Q, R, and S.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "write an equation for each statement, simplify as much as possible <BR>\n" );
document.write( "Q is currently twice the age of S.<BR>\n" );
document.write( "q = 2s<BR>\n" );
document.write( " Two years ago, P was twice the age of R.<BR>\n" );
document.write( "p - 2 = 2(r-2)<BR>\n" );
document.write( "p - 2 = 2r - 4<BR>\n" );
document.write( "p = 2r - 4 + 2<BR>\n" );
document.write( "p = 2r - 2<BR>\n" );
document.write( " Four years ago, Q was twice the age of R.<BR>\n" );
document.write( "q - 4 = 2(r-4)<BR>\n" );
document.write( "q - 4 = 2r - 8<BR>\n" );
document.write( "q = 2r - 8 + 4<BR>\n" );
document.write( "q = 2r - 4<BR>\n" );
document.write( " Two years from now, P would be twice the age of S.<BR>\n" );
document.write( "p + 2 = 2(s+2)<BR>\n" );
document.write( "p + 2 = 2s + 4<BR>\n" );
document.write( "p = 2s + 4 - 2<BR>\n" );
document.write( "p = 2s + 2<BR>\n" );
document.write( " Three years ago, R was twice the age of S.<BR>\n" );
document.write( "r - 3 = 2(s-3)<BR>\n" );
document.write( "r - 3 = 2s - 6<BR>\n" );
document.write( "r = 2s - 6 + 3<BR>\n" );
document.write( "r = 2s - 3<BR>\n" );
document.write( "Convert to s in terms r<BR>\n" );
document.write( "-2s = -r - 3<BR>\n" );
document.write( "same as <BR>\n" );
document.write( "2s = r + 3<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r%2B3%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28r%2B3%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we also know that q = (2r-4)<BR>\n" );
document.write( "Back to the 1st equation q = 2s, replace s and q<BR>\n" );
document.write( "2r+4 = 2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r%2B3%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28r%2B3%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "Cancel 2<BR>\n" );
document.write( "2r - 4 = r + 3<BR>\n" );
document.write( "2r - r = 3 + 4<BR>\n" );
document.write( "r = 7 <BR>\n" );
document.write( "now you can replace r with 7 in the following equations and complete the problem<BR>\n" );
document.write( "p = 2r - 2<BR>\n" );
document.write( "q = 2r - 4<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r%2B3%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28r%2B3%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ":<BR>\n" );
document.write( " Mrs. A current age is the sum of her children's current age.<BR>\n" );
document.write( "A = p + q + r + s<BR>\n" );
document.write( "What are the current ages of Mrs. A and her children P, Q, R, & S. </SPAN>\n" );
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