document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072161>Question 1072161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ellie is twice as old as her sister kate. In seven years the sum of their ages will be 20. How old are they now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #687037 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=687037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ellie is twice as old as her sister kate. In seven years the sum of their ages will be 20. How old are they now?<BR>\n" );
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document.write( "Let E = Ellie's age<BR>\n" );
document.write( "and K = Kate's age\r<BR>\n" );
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document.write( "E = 2K  (1)<BR>\n" );
document.write( "(E+7)+ (K+7) = 20   (2)\r<BR>\n" );
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document.write( "Substitute 2K for E from (1), into (2):<BR>\n" );
document.write( "(2K+7) + (K+7) = 20<BR>\n" );
document.write( "     3K + 14 = 20<BR>\n" );
document.write( "       3K = 6<BR>\n" );
document.write( "         K = 2   —>  E = 2K = 2*2 = 4\r<BR>\n" );
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document.write( "—<BR>\n" );
document.write( "Ans:  Kate is 2 years old, Ellie is 4 years old<BR>\n" );
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document.write( "Check:   in 7 years,  Kate will be 9 and Ellie will be 11, and 9+11 = 20, so that check ok.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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