I am a number between 20 and 30. When you divide me into 6 equal groups,there is an even number in each group and 2 are left over.what number am I?

24/6 = 4

Add 2

To find the number, let's start by understanding the problem. We are looking for a number between 20 and 30 that, when divided into 6 equal groups, leaves 2 left over.

Let's break it down step by step:

1. Start with the range of numbers between 20 and 30: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30.
2. Eliminate the odd numbers from the range because we are looking for a number that can be divided into 6 equal groups with an even number in each group.
- Eliminate 21, 23, 25, 27, 29.
3. Now, we have the remaining numbers: 20, 22, 24, 26, 28, 30.
4. Divide each number by 6 to see if there are any remainders.
- When we divide 20 by 6, there is a remainder of 2.
- When we divide 22 by 6, there is a remainder of 4.
- When we divide 24 by 6, there is no remainder.
- When we divide 26 by 6, there is a remainder of 2.
- When we divide 28 by 6, there is a remainder of 4.
- When we divide 30 by 6, there is no remainder.

From the remaining numbers, we can see that only two satisfy the condition of leaving 2 as a remainder when divided by 6: 20 and 26.

Therefore, the number you are is 26.