document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=460851>Question 460851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a three-digit number satisfies the following conditions: the digits are consecutive whole numbers; the sum of the digits is greater than 10 and less than 20; and the tens digit is ann odd number. 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 #316116 by </B><A HREF=/tutors/aboutme.mpl?userid=poliphob3.14><B>poliphob3.14(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=poliphob3.14><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=316116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the tens digit = 2k+1, an odd number, then the hundreds digit is 2k and the units digit 2k+2, where k is a natural number. These digits must satisfy the conditions: 10 < 2k+2k+1+2k+2 <20 Solving these inequalities we get:<BR>\n" );
document.write( "10< 6k+3 <20 => 7< 6k <20 => 7/6< k <20/7 These inequalities are equivalent to the inequalities: 1< k <3, since k is a natural number we conclude that k=1, and the digits of our number are: 2k=4; 2k+1=5 and 2k+2=6.\r<BR>\n" );
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document.write( "Answer: The number is 456, which satisfy our conditions. </SPAN>\n" );
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