document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253036>Question 253036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A three- digit number divisible by 5 has a hundreds digit that is 2 more than the tens digit. If the number is 43 times the sum of the digit, what is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185221 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a= the number<BR>\n" );
document.write( "100x+10y+z=a<BR>\n" );
document.write( "x=y+2<BR>\n" );
document.write( "a=43*(x+y+z)<BR>\n" );
document.write( "we also know that z=0 or z=5 since the number is divisible by 5<BR>\n" );
document.write( "So we plug in 5 or 0 to test it. which ever gives us three integers for x, y and a is the right choice for z<BR>\n" );
document.write( "hint z=5 works<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );