document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162433>Question 162433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I HAVE A TWO DIGIT NUMBER. THE SUM OF 4 TIMES THE TENS DIGIT AND THE UNITS DIGIT IS 26. THE SUM OF THE TENS DIGIT AND 4 TIMES THE UNITS DIGIT IS 14. WHAT IS THE SUM OF THE DIGITS OF MY NUMBER? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119749 by </B><A HREF=/tutors/aboutme.mpl?userid=Anthea+Lawn><B>Anthea Lawn(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Anthea+Lawn><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=119749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let t be the tens digit and u be the units digit.\r<BR>\n" );
document.write( "\n" );
document.write( "In that case, the number can be written as 10t + u   (eg 43 is 4 X 10 + 3)\r<BR>\n" );
document.write( "\n" );
document.write( "We are told :<BR>\n" );
document.write( "4t + u = 26    -------(1)\r<BR>\n" );
document.write( "\n" );
document.write( "And we are also told :<BR>\n" );
document.write( "t + 4u = 14 ----------(2)\r<BR>\n" );
document.write( "\n" );
document.write( "multiplying (2) by 4 gives :<BR>\n" );
document.write( "4t + 16u = 56 ------(3)\r<BR>\n" );
document.write( "\n" );
document.write( "and subtracting (1) gives :\r<BR>\n" );
document.write( "\n" );
document.write( "15u = 30<BR>\n" );
document.write( "u=2<BR>\n" );
document.write( "therefore t=6\r<BR>\n" );
document.write( "\n" );
document.write( "Hence the number is 62 and the sum of its digits is 8.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );