document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241071>Question 241071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Kurt were 10 years older, he would be twice as old as his sister, and their combined ages would be 36. What are the ages of Kurt and his sister? <BR>\n" );
document.write( "Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176574 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=176574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Kurt were 10 years older, he would be twice as old as his sister, and their<BR>\n" );
document.write( " combined ages would be 36. <BR>\n" );
document.write( "What are the ages of Kurt and his sister?<BR>\n" );
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document.write( "let k = Kurt's present age<BR>\n" );
document.write( "let s = sister's present age<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"If Kurt were 10 years older, he would be twice as old as his sister,\"<BR>\n" );
document.write( "k + 10 = 2(s + 10)<BR>\n" );
document.write( "k + 10 = 2s + 20<BR>\n" );
document.write( "k = 2s + 20 - 10<BR>\n" );
document.write( "k = 2s + 10<BR>\n" );
document.write( ";<BR>\n" );
document.write( "\" and their combined ages would be 36.\"<BR>\n" );
document.write( "(k+10) + (s+10) = 36<BR>\n" );
document.write( "k + s + 20 = 36<BR>\n" );
document.write( "k + s = 36 - 20<BR>\n" );
document.write( "k + s = 16<BR>\n" );
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document.write( "Replace k with (2s+10); find s<BR>\n" );
document.write( "2s + 10 + s = 16<BR>\n" );
document.write( "3s = 16 - 10<BR>\n" );
document.write( "3s = 6<BR>\n" );
document.write( "s =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F3 ALIGN=MIDDLE  ALT=\"6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 2 yrs is the sister<BR>\n" );
document.write( "and<BR>\n" );
document.write( "k + 2 = 16<BR>\n" );
document.write( "k = 16 - 2<BR>\n" );
document.write( "k = 14 yrs is Kurt<BR>\n" );
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document.write( "Check solution in the statement:<BR>\n" );
document.write( "\"If Kurt were 10 years older, he would be twice as old as his sister, \"<BR>\n" );
document.write( "14 + 10 = 2(2+10)\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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