Question 26829
<pre>I am a 3 digit number less than 300. My tens digit is less than my ones
digit and my ones digit is less than my hundres digit. Who am I?
<b>
Let these three blanks <u> </u> <u> </u> <u> </u> represent the 3-digit
number.
</b>
          >>...I am a 3 digit number less than 300...<<
<b>
Therefore the number is <u>1</u> <u> </u> <u> </u> or <u>2</u> <u> </u> <u> </u>
</b>
          >>...my ones digit is less than my hundreds digit...<<
<b>
So the number is either <u>1</u> <u> </u> <u>0</u>, <u>2</u> <u> </u> <u>1</u>, or <u>2</u> <u> </u> <u>0</u> 
</b>
          >>...My tens digit is less than my ones digit...<<
<b>
This rules out <u>1</u> <u> </u> <u>0</u> and <u>2</u> <u> </u> <u>0</u>, because there is no digit less than 0.

So that leaves only <u>2</u> <u> </u> <u>1</u>, and the only digit less than 1 is 0, so the
tens digit is 0, and the number is

          <u>2</u> <u>0</u> <u>1</u>

Edwin
AnlytcPhil@aol.com</pre>