the mystery number is an odd number. The digit in tens place is equal to digit in the ones place. The sum of the digit is more than 10 and less than 15. what the number?
To find the mystery number, we can follow these steps based on the given information:
Step 1: The mystery number is an odd number.
Since all odd numbers end with either 1, 3, 5, 7, or 9, we can eliminate any numbers not ending with those digits.
Step 2: The digit in the tens place is equal to the digit in the ones place.
To determine the possible values for the tens and ones digit, we can create a table:
| Tens Digit | Ones Digit |
|------------|------------|
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
Step 3: The sum of the digits is more than 10 and less than 15.
From the table above, we can calculate the sum of the two digits for each row:
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = 8
5 + 5 = 10
6 + 6 = 12
7 + 7 = 14
8 + 8 = 16
9 + 9 = 18
By comparing the sum with the given condition, we can see that only the sum of 6 and 8 falls between the range of 10 to 15.
Step 4: Determine the possible mystery numbers.
Based on the table, the possible mystery numbers are 66 and 88 since they meet all the given conditions (odd numbers with the tens digit equal to the ones digit and the sum of the digits being between 10 and 15).
Therefore, the mystery number can be either 66 or 88.