Double my tens digit to get my ones digit double me and I am less than 50
if ones digit were 2, and tens digit is 1
12 works
24 works
To solve this problem, we need to find a two-digit number where the product of the tens digit and 2 is equal to the ones digit. Additionally, if we double the two-digit number, it should be less than 50.
Let's start by considering the possible values for the tens digit. Since the tens digit is being doubled, it should not exceed 4 (because 4 doubled is 8). So, we can consider the values 0, 1, 2, 3, or 4 for the tens digit.
Let's go through each possibility:
1. For the tens digit 0:
- If the tens digit is 0, then the ones digit should also be 0 (2 * 0 = 0), which does not meet the condition of being a two-digit number.
2. For the tens digit 1:
- If the tens digit is 1, then the ones digit should be 2 (2 * 1 = 2).
- Doubling the number gives us 12. Since 12 is less than 50, this is a valid solution.
3. For the tens digit 2:
- If the tens digit is 2, then the ones digit should be 4 (2 * 2 = 4).
- Doubling the number gives us 24. Since 24 is less than 50, this is another valid solution.
4. For the tens digit 3:
- If the tens digit is 3, then the ones digit should be 6 (2 * 3 = 6).
- Doubling the number gives us 36. Since 36 is less than 50, this is yet another valid solution.
5. For the tens digit 4:
- If the tens digit is 4, then the ones digit should be 8 (2 * 4 = 8).
- Doubling the number gives us 48. Since 48 is less than 50, this is also a valid solution.
In conclusion, there are four two-digit numbers that satisfy the given conditions: 12, 24, 36, and 48.