document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944200>Question 944200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A two digit number is four times the sum of the digits. How many number satisfy the condition? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575753 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=575753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A two digit number is four times the sum of the digits.<BR>\n" );
document.write( " How many numbers satisfy the condition?<BR>\n" );
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document.write( "let a & b be the two digits<BR>\n" );
document.write( "then<BR>\n" );
document.write( "10a+b = the number<BR>\n" );
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document.write( "\"A two digit number is four times the sum of the digits.\"<BR>\n" );
document.write( "10a + b = 4(a + b)<BR>\n" );
document.write( "10a + b = 4a + 4b<BR>\n" );
document.write( "10a - 4a = 4b - b<BR>\n" );
document.write( "6a = 3b<BR>\n" );
document.write( "simplify, divide by 3<BR>\n" );
document.write( "2a = b<BR>\n" );
document.write( "We see that a can = 1,2,3 & 4, so that b is a single digit<BR>\n" );
document.write( "a = 1, 12 is the number<BR>\n" );
document.write( "a = 2, 24 is the number<BR>\n" );
document.write( "a = 3, 36 is the number<BR>\n" );
document.write( "a = 4, 48 is the number<BR>\n" );
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document.write( "4 numbers satisfy this condition </SPAN>\n" );
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