document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562871>Question 562871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sue is twice as old as Emma and 7 years older than Abby. The sum of their ages is 53. How old is each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364719 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "Present age of Sue = s<BR>\n" );
document.write( "Present age of Emma = e<BR>\n" );
document.write( "Present age of Abby = a\r<BR>\n" );
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document.write( "Given<BR>\n" );
document.write( "Sue is twice as old as Emma <BR>\n" );
document.write( "s=2e<BR>\n" );
document.write( "s/2=e<BR>\n" );
document.write( "e=s/2.........(1)<BR>\n" );
document.write( "and 7 years older than Abby<BR>\n" );
document.write( "s=a+7<BR>\n" );
document.write( "s-7=a<BR>\n" );
document.write( "a=s-7........(2)<BR>\n" );
document.write( "The sum of their ages is 53<BR>\n" );
document.write( "a+e+s=53.......(3)\r<BR>\n" );
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document.write( "We have three unknowns and three equations.\r<BR>\n" );
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document.write( "Put the values of e and a from (1) and (2) to (3)<BR>\n" );
document.write( "a+e+s=53.......(3)<BR>\n" );
document.write( "s-7+s/2+s=53<BR>\n" );
document.write( "Multiply by 2 both sides of the equation<BR>\n" );
document.write( "2s-14+s+2s=106<BR>\n" );
document.write( "5s-14=106<BR>\n" );
document.write( "5s=106+14<BR>\n" );
document.write( "5s=120<BR>\n" );
document.write( "5s/5=120/5<BR>\n" );
document.write( "s=24<BR>\n" );
document.write( "Put the value of s in (1)<BR>\n" );
document.write( "e=s/2.........(1)<BR>\n" );
document.write( "e=24/2<BR>\n" );
document.write( "e=12<BR>\n" );
document.write( "Put the value of s in (2)<BR>\n" );
document.write( "a=s-7........(2)<BR>\n" );
document.write( "a=24-7<BR>\n" );
document.write( "a=17\r<BR>\n" );
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document.write( "Present age of Sue = s  = 24 years old <BR>\n" );
document.write( "Present age of Emma = e = 12 years old<BR>\n" );
document.write( "Present age of Abby = a = 17 years old\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );