what is the mystery number?greater than 1oo -odd more than 3 tens less than 150 the sum of the digits is 12?? please help
To find the mystery number, let's break down the given clues step-by-step:
1. Greater than 100: This means the mystery number is a three-digit number.
2. Odd: The mystery number is an odd number since it is greater than 100 and odd numbers have an odd last digit.
3. More than 3 tens: Since the number is greater than 100, it must have a tens digit larger than 3. This means the tens digit can be 4, 5, 6, 7, 8, or 9.
4. Less than 150: The mystery number is less than 150, so the hundreds digit can only be 1.
5. The sum of the digits is 12: Now let's find the possible combinations for the tens and units digits that give us a sum of 12.
- If the tens digit is 4, the units digit would be 8 (4 + 8 = 12).
- If the tens digit is 5, the units digit would be 7 (5 + 7 = 12).
- If the tens digit is 6, the units digit would be 6 (6 + 6 = 12).
- If the tens digit is 7, the units digit would be 5 (7 + 5 = 12).
- If the tens digit is 8, the units digit would be 4 (8 + 4 = 12).
- If the tens digit is 9, the units digit would be 3 (9 + 3 = 12).
Therefore, the possible combinations are 148, 157, 166, 175, 184, and 193.
So, the mystery number could be 148, 157, 166, 175, 184, or 193.