document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97319>Question 97319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Adam is 3 times as old as Cynthia and Fred is 16 years younger than Adam.  One year ago, Adam's age was twice the sum of Cynthia's & Fred's age.  Find their present age. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71004 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=71004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an expression or equation for each statement<BR>\n" );
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document.write( "Adam is 3 times as old as Cynthia<BR>\n" );
document.write( "A = 3C<BR>\n" );
document.write( "Or<BR>\n" );
document.write( "C = A/3<BR>\n" );
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document.write( "Fred is 16 years younger than Adam.<BR>\n" );
document.write( "F = (A-16)<BR>\n" );
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document.write( "One year ago, Adam's age was twice the sum of Cynthia's & Fred's age. <BR>\n" );
document.write( "(A-1) = 2((C-1) + (F-1))<BR>\n" );
document.write( "(A-1) = 2(C + F - 2)<BR>\n" );
document.write( "  A-1 = 2C + 2F - 4<BR>\n" );
document.write( "  A = 2C + 2F - 4 + 1<BR>\n" );
document.write( "  A = 2C + 2F - 3<BR>\n" );
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document.write( "Find their present age.<BR>\n" );
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document.write( "Substitute for C & F, from the 1st and 2nd equation:<BR>\n" );
document.write( "A = 2(A/3) + 2(A-16) - 3<BR>\n" );
document.write( "A = (2A/3) + 2A - 32 - 3<BR>\n" );
document.write( "A = (2A/3) + 2A - 35<BR>\n" );
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document.write( "Get rid of the denominator, mult equation by 3<BR>\n" );
document.write( "3A = 2A + 6A - 105<BR>\n" );
document.write( "3A = 8A - 105<BR>\n" );
document.write( "3A - 8A = -105<BR>\n" );
document.write( "-5A = -105<BR>\n" );
document.write( "A = -105/-5<BR>\n" );
document.write( "A = 21 yrs is Adams age now<BR>\n" );
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document.write( "C = 21/3 = 7 yrs old is Cynthia now<BR>\n" );
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document.write( "F = 21 - 16 = 5 yrs old is Fred now<BR>\n" );
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document.write( "Check solution using:<BR>\n" );
document.write( "\"One year ago, Adam's age was twice the sum of Cynthia's & Fred's age.\"<BR>\n" );
document.write( "20 = 2(6 + 4)<BR>\n" );
document.write( " </SPAN>\n" );
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