what is the three digit mystery number? if it is less than 300. the tens digit is 5 more than the hundreds digit. the sum if the digits is 11. the hundreds digit is 3 less than the ones digit. the mystery number is
Hundreds digit is between 1-3. Tens digits are between 6-8. The ones digit is 4-6. The total amount of digits is 11. For example, it's not 386 because the total amount is 17 (3+8+6).
it is less than 300 --> 1xx or 2xx
the hundreds digit is 3 less than the ones digit
---1x4 or 2x5
the tens digit is 5 more than the hundreds digit
---> 164 or 274
the sum if the digits is 11 ----> 164
To find the three-digit mystery number, we can follow these steps:
Step 1: Identify the given clues.
From the given clues, we know that:
- The number is less than 300.
- The tens digit is 5 more than the hundreds digit.
- The sum of the digits is 11.
- The hundreds digit is 3 less than the ones digit.
Step 2: Determine the possible values for the hundreds digit.
Since the sum of the digits is 11, and we know that the hundreds digit is 3 less than the ones digit, we can conclude that the sum of the tens and ones digit must be 8 (11 - 3).
Now, let's assume the ones digit is 8 and find the corresponding hundreds digit that satisfies the given clues:
- If the ones digit is 8, then the tens digit would be 8 - 5 = 3.
- Therefore, the possible value for the hundreds digit is 8 - 3 = 5.
So, we have one possibility: hundreds digit = 5, tens digit = 3, ones digit = 8. Therefore, the mystery number is 538.