The mystery number has the same number of tens and ones, and the sum of these digits is 8
how about 233 or 4211 or 2222 or 111,122 or ..
To find the mystery number, we need to find a number where the tens digit and the ones digit are the same, and the sum of these digits is 8.
Let's explore the different possibilities for the tens and ones digits:
Case 1: The tens and ones digit are both 4.
In this case, the sum of these digits is 4 + 4 = 8. Therefore, the mystery number is 44.
Case 2: The tens and ones digit are both 3.
In this case, the sum of these digits is 3 + 3 = 6. This does not satisfy the condition that the sum of the digits should be 8.
Case 3: The tens and ones digit are both 2.
In this case, the sum of these digits is 2 + 2 = 4. This does not satisfy the condition that the sum of the digits should be 8.
Case 4: The tens and ones digit are both 1.
In this case, the sum of these digits is 1 + 1 = 2. This does not satisfy the condition that the sum of the digits should be 8.
Therefore, the only possible mystery number is 44, where the tens and ones digit are both 4, and the sum of these digits is 8.
To find the mystery number that has the same number of tens and ones, and their sum is 8, we can use a systematic approach to narrow down the possibilities.
Since the number of tens and ones is the same, we can assume that the mystery number has the form "XY," where X is the tens digit and Y is the ones digit.
Given that the sum of the digits is 8, we can set up the equation: X + Y = 8.
To find the possible values of X and Y, we can systematically try different combinations that satisfy this equation.
Starting with X = 0, we can find Y by subtracting X from 8: Y = 8 - 0 = 8. However, since the problem states that the number of tens and ones is the same, we can eliminate this possibility.
Moving on to X = 1, we can calculate Y: Y = 8 - 1 = 7. We now have a possible answer: 17.
Continuing the approach, for X = 2, we have Y = 8 - 2 = 6. Another possible answer is 26.
For X = 3, Y = 8 - 3 = 5. We have another possible answer: 35.
Trying X = 4, Y = 8 - 4 = 4. Another possible answer is 44.
Lastly, for X = 5, Y = 8 - 5 = 3. The final possible answer is 53.
Therefore, the mystery number can be any of the following: 17, 26, 35, 44, or 53.