document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273169>Question 273169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a five-digit palindrome  (a number that reads the same way in either direction) is 30. the sum of the first two digits is twice the value of  the middle digit and the first is twice the second digit . find the palindrome ?\r<BR>\n" );
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document.write( "A  48684    b  63636    c  93636    d 75657   e 84648<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199646 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=199646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = 1st and last digit<BR>\n" );
document.write( "Let y = 2nd and 4th digit<BR>\n" );
document.write( "Let z = middle digit<BR>\n" );
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document.write( "x,y,z,y,x is the 5 digit number<BR>\n" );
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document.write( "The sum of the digits of a five-digit palindrome is 30.<BR>\n" );
document.write( "2x + 2y + z = 30<BR>\n" );
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document.write( "the sum of the first two digits is twice the value of the middle digit<BR>\n" );
document.write( "x + y = 2z<BR>\n" );
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document.write( "the first is twice the second digit<BR>\n" );
document.write( "x = 2y<BR>\n" );
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document.write( "find the palindrome ? <BR>\n" );
document.write( "x + y = 2z<BR>\n" );
document.write( "2z = x + y<BR>\n" );
document.write( "2z = 2y + y; replaced x with 2y<BR>\n" );
document.write( "2z = 3y<BR>\n" );
document.write( "z = 1.5y<BR>\n" );
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document.write( "2x + 2y + z = 30<BR>\n" );
document.write( "2(2y) + 2y + 1.5y = 30, replaced x and z<BR>\n" );
document.write( "4y + 2y + 1.5y = 30<BR>\n" );
document.write( "7.5y = 30<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F7.5 ALIGN=MIDDLE  ALT=\"30%2F7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x = 2(4) = 8<BR>\n" );
document.write( "and<BR>\n" );
document.write( "z = 1.5(4) = 6<BR>\n" );
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document.write( "84648 is the number </SPAN>\n" );
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