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 #316113 by </B><A HREF=/tutors/aboutme.mpl?userid=J2R2R><B>J2R2R(94)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=J2R2R><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=J2R2R><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You could solve this with guesswork or mathematically, so let us look at it both ways.\r<BR>\n" );
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document.write( "Guesswork:\r<BR>\n" );
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document.write( "Three numbers in succession\r<BR>\n" );
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document.write( "1, 2, 3: too low since 1 + 2 + 3 = 6;<BR>\n" );
document.write( "2, 3, 4: too low since 2 + 3 + 4 = 9;<BR>\n" );
document.write( "3, 4, 5: okay since 3 + 4 + 5 = 12<BR>\n" );
document.write( "4, 5, 6: okay since 4 + 5 + 6 = 15<BR>\n" );
document.write( "5, 6, 7: okay since 5 + 6 + 7 = 18<BR>\n" );
document.write( "6, 7, 8: too high since 6 + 7 + 8 = 21\r<BR>\n" );
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document.write( "We can see that we have three to choose form but the ten’s must be odd, so the only solution is 456.\r<BR>\n" );
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document.write( "Mathematically:\r<BR>\n" );
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document.write( "Let the three numbers be a - 1, a, a + 1 where a is the ten digit\r<BR>\n" );
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document.write( "The sum of the three digits is 3a which has to be between 10 and 20, so 3a = 12, 15 or 18 giving a = 4, 5 or 6.\r<BR>\n" );
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document.write( "The only odd value for a is 5, so the three digit number we have is 456. </SPAN>\n" );
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