document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618287>Question 618287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a two digit number has a value two more than six times the sum of its digits. the tens digit is one more than the units digit. find 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 #388785 by </B><A HREF=/tutors/aboutme.mpl?userid=dragonwalker><B>dragonwalker(73)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dragonwalker><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=388785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let us say that the unit digit is 'u' and the tens digit is 't'\r<BR>\n" );
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document.write( "The number can then be written as 10t + u\r<BR>\n" );
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document.write( "We know that 10t + u - 2 = 6t + 6u\r<BR>\n" );
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document.write( "also:\r<BR>\n" );
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document.write( "t = u + 1\r<BR>\n" );
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document.write( "substitute t from second equation into the first full equation:\r<BR>\n" );
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document.write( "10(u+1) + u - 2 = 6(u+1) + 6u<BR>\n" );
document.write( "10u + 10 + u - 2 = 6u + 6 + 6u\r<BR>\n" );
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document.write( "rearrange so all 'u's on left and numbers on right. Remember to change the sign if you change the side that a value is on:\r<BR>\n" );
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document.write( "10u + u - 6u - 6u = 6 + 2 - 10\r<BR>\n" );
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document.write( "-u = -2\r<BR>\n" );
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document.write( "so:\r<BR>\n" );
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document.write( "u = 2\r<BR>\n" );
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document.write( "so if u=2 then t must be equal to 3 (u+1=t)\r<BR>\n" );
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document.write( "the number is 32\r<BR>\n" );
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document.write( "to check:\r<BR>\n" );
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document.write( "Sum of its digits times six is: 2+3 = 5 times by 6 = 30.\r<BR>\n" );
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document.write( "the number is 32 which is indeed two more than 30 </SPAN>\n" );
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