I am thinking of a two-digit number in which the sum of the digits is 9 and the number is even. These clues alone do not create one answer. Add one more clue so that there is only one answer.
Both digits are divisible by 2. The difference of the digits is 2. Both digits are the same. Both digits are divisible by 3. One digit is even, and the other digit is odd.
By adding the clue "Both digits are the same," there is now only one possible answer.
To find a two-digit number that meets the given conditions, let's analyze the clues:
1. The sum of the digits is 9: This tells us that the two-digit number can be represented by xy, where x and y are the digits. We know that x + y = 9.
2. The number is even (Both digits are divisible by 2): From this clue, we can deduce that y must be an even number. This narrows down the possibilities.
3. The difference of the digits is 2: This means that x - y = 2. Given that the digits are the same, this clue allows us to determine the possible values of x and y.
Now, when we consider the given clues in combination, we can determine the additional clue needed to have only one answer.
4. Both digits are divisible by 3: Since both digits are the same, to meet this condition, both digits must be divisible by 3. However, there is no two-digit number where both digits are the same and divisible by 3.
5. One digit is even, and the other digit is odd: This would create multiple possible numbers. For example, if y is odd (hence, x is even), both digits can be 3 and 6, resulting in two possible numbers: 36 and 63.
Based on these analyses, we can conclude that the additional clue needed to have only one answer would be "Both digits are the same." This additional condition ensures that the only possible number is 44, where both the digits are 4, and it meets all the given conditions.