I am a number between 20 and 30. When you put me into 7 equal groups, there is an odd number in each group and 2 are left over. What number am I

Let's see which of these numbers fit that description.

21 - no
22 - no
23 - hmm -- (7 * 3) + 2 = 23
24
25
26
27
28
29

Are there any other numbers that meet these criteria?

To find the number you are, we can understand that the number leaves a remainder of 2 when divided by 7. Let's start by finding the multiples of 7 that leave a remainder of 2 when divided by 7.

The first multiple of 7 that leaves a remainder of 2 is 9. If we continue adding 7 to this number, we can find other multiples that have the same property: 9, 16, 23, 30, 37, 44, 51, 58, 65, 72, 79, 86, and so on.

However, since we know that the number is between 20 and 30, we can stop after finding the multiples that fall within this range. From the list above, the only number between 20 and 30 is 23.

Therefore, the number you are is 23.