Between 200 and 300
Multiple of 11
Sum of the digits is 11
The two numbers that satisfy the given conditions are: 209 and 286.
Explanation:
To find the numbers that are between 200 and 300 and are multiples of 11, we need to start with 220 (the smallest multiple of 11 greater than 200) and keep adding 11 until we reach a number that is greater than or equal to 300. This gives us the following multiples of 11 between 200 and 300:
220, 231, 242, 253, 264, 275, 286, 297
Out of these numbers, only 286 has digits that sum up to 11 (2 + 8 + 6 = 16). Therefore, the number we are looking for must be 286.
To check if there is another number that satisfies the given conditions, we can repeat the process for the numbers between 100 and 200. This gives us the following multiples of 11 between 100 and 200:
110, 121, 132, 143, 154, 165, 176, 187, 198
Out of these numbers, only 209 has digits that sum up to 11 (2 + 0 + 9 = 11). Therefore, the two numbers that satisfy the given conditions are 209 and 286.