document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43500>Question 43500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will you please help me with this word problem.  The units digit of a two-digits number is 1 more than 4 times the tens digit.  If the digits are reversed, the new number is 5 more than 3 times the original number.  Find the original number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28500 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=28500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the digit in the 10's place be 'x' and that in the unit's place be 'y'.<BR>\n" );
document.write( "Then, the number is: 10x + y.<BR>\n" );
document.write( "Now, 4 times the digit in 10's = 4x.<BR>\n" );
document.write( "According to the problem, digit in unit's place = 4 times digit in ten's place + 1.<BR>\n" );
document.write( "So, y = 4x + 1_________(1)\r<BR>\n" );
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document.write( "Again, if the digits are reversed then the number becomes: 10y + x. <BR>\n" );
document.write( "[As then the digit in 10's place becomes that in unit's place and that in unit's place becomes digit in 10's place]\r<BR>\n" );
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document.write( "According to the problem, new number = 3 times original number + 5.<BR>\n" );
document.write( "Hence, 10y + x = 3(10x + y) + 5 or 7y - 29x = 5 _________(2)\r<BR>\n" );
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document.write( "Substituting the value of 'y' from (1) in (2),<BR>\n" );
document.write( "7(4x + 1) - 29x = 5<BR>\n" );
document.write( "or 28x + 7 - 29x = 5<BR>\n" );
document.write( "or -x = 5 - 7 = -2<BR>\n" );
document.write( "or x = 2\r<BR>\n" );
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document.write( "Putting x = 2 in (1), we have y = 4(2) + 1 = 9.\r<BR>\n" );
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document.write( "Thus, the original number is (10x + y) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A2+%2B+9 ALIGN=MIDDLE  ALT=\"10%2A2+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 29. </SPAN>\n" );
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