I am a three digit odd number the tens and hundreds digit are both even the digits have the sum of 11

just check the possibilities. You want two evens + an odd to add up to 11.

227
443

To find the three-digit odd number with even tens and hundreds digits and a sum of 11 for all its digits, we can use a systematic approach.

Since the tens and hundreds digits are even, they can only be 2, 4, 6, or 8. Let's consider each possibility:

1. If the tens digit is 2 and the hundreds digit is 2, the units digit would have to be 7 (to make the sum 11). However, this would result in an even number (222), so it's not possible.

2. If the tens digit is 4 and the hundreds digit is 2, the units digit would have to be 5 (to make the sum 11). Therefore, the number would be 425, which is a valid three-digit odd number.

3. If the tens digit is 6 and the hundreds digit is 2, the units digit would have to be 3 (to make the sum 11). Therefore, the number would be 623, which is a valid three-digit odd number.

4. If the tens digit is 8 and the hundreds digit is 2, the units digit would have to be 1 (to make the sum 11). Therefore, the number would be 821, which is a valid three-digit odd number.

So, there are three possible three-digit odd numbers that fit the given criteria: 425, 623, and 821.