Question 1209243: It is a 3 digit whole number
It is divisible by 5
It is a positive even number
Each of its digits are different
Its tens digit is greater than its ones digit
Its hundreds digit is greater than its tens digit
It is less than 400
It is divisible by 3
It has only one odd digit
Its ten digit is 1
Found 3 solutions by ikleyn, Edwin McCravy, greenestamps:
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
(1) It is a 3 digit whole number
(2) It is divisible by 5
(3) It is a positive even number
(4) Each of its digits are different
(5) Its tens digit is greater than its ones digit
(6) Its hundreds digit is greater than its tens digit
(7) It is less than 400
(8) It is divisible by 3
(9) It has only one odd digit
(1)0 Its ten digit is 1
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From (2), the last digit is 5 or 0.
Then from (3), we conclude that the last digit is 0.
From (10), the last two digits are 10.
From (6) and (7), first digit is 2 or 3.
From (8), we conclude that first digit is 2.
The number is 210. ANSWER
Solved.
All other conditions, (4), (5), (9) are excessive: they are not used in the solution.
Answer by Edwin McCravy(20064)  (Show Source):
You can put this solution on YOUR website!
Or, you can do it this way.
(1) It is a 3-digit whole number
(2) It is divisible by 5
(3) It is a positive even number
(4) Each of its digits are different
(5) Its tens digit is greater than its ones digit
(6) Its hundreds digit is greater than its tens digit
(7) It is less than 400
(8) It is divisible by 3
(9) It has only one odd digit
(10) Its tens digit is 1
From (1), we make three blanks for the three digits.
From (10), we put 1 for the tens (middle) digit:
1
From (5), the ones (last) digit can only be 0. So we put 0 for the last digit
1 0
From (6), the hundreds (first) digit is greater than 1, and it's even,
and from (7) it can't be 4, so it's 2. So we put 2 for the first digit.
2 1 0
So the whole number is 210.
There are still other ways to solve it using others of the clues.
Edwin
Answer by greenestamps(13209)  (Show Source):
You can put this solution on YOUR website!
There are more conditions than necessary to find the number; but which ones are not needed depends on how you solve the problem. And since there are more conditions than needed, there are many ways to solve the problem.
Glancing quickly at the given conditions, this is the path I first saw:
Its tens digit is 1; its tens digit is greater than its ones digit.
Therefore, since it is a 3-digit number, it is _10.
Then, since it is less than 400 and is divisible by 3, it must be 210.
ANSWER: 210
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