document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622351>Question 622351</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 an 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 #391363 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391363\">put this solution on YOUR website!</A><BR><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 an odd number. what is the number?\r<BR>\n" );
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document.write( "Let the smallest digit be S<BR>\n" );
document.write( "Then other digits are: S + 1, and S + 2, since all 3 are consecutive integers\r<BR>\n" );
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document.write( "Sum of numbers = S + S + 1 + S + 2, or 3S + 3<BR>\n" );
document.write( "Since their sum is greater than 10 and less than 20, we can say that:<BR>\n" );
document.write( "10 < 3S + 3 < 20<BR>\n" );
document.write( "10 – 3 < 3S + 3 – 3 < 20 – 3 --- Subtracting 3 from each section of the compound inequality<BR>\n" );
document.write( "7 < 3S < 17 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > < S < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%2F3 ALIGN=MIDDLE  ALT=\"17%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- Dividing each section of the compound inequality by 3\r<BR>\n" );
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document.write( "This means that the SMALLEST digit is greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%261%2F3 ALIGN=MIDDLE  ALT=\"2%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%2F3 ALIGN=MIDDLE  ALT=\"17%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%262%2F3 ALIGN=MIDDLE  ALT=\"5%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, the integers that are greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%261%2F3 ALIGN=MIDDLE  ALT=\"2%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%262%2F3 ALIGN=MIDDLE  ALT=\"5%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > are: 3, 4, and 5\r<BR>\n" );
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document.write( "Smallest integer being 3<BR>\n" );
document.write( "The smallest integer CANNOT BE 3 because the next consecutive number, or the middle digit, or tens digit, would be 4, which contradicts the given clue that the tens digit is odd\r<BR>\n" );
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document.write( "Smallest integer being 4<BR>\n" );
document.write( "The smallest integer CAN BE 4 because the next consecutive number, or the middle digit, or tens digit, would be 5, which is true, based on the given clue that the tens digit is odd\r<BR>\n" );
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document.write( "Smallest integer being 5<BR>\n" );
document.write( "The smallest integer CANNOT BE 5 because the next consecutive number, or the middle digit, or tens digit, would be 6, which contradicts the given clue that the tens digit is odd\r<BR>\n" );
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document.write( "Therefore, the 3 digits are: 4, 5, and 6, making the 3-digit number: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28456%29 ALIGN=MIDDLE  ALT=\"highlight_green%28456%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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