I AM A NUMBER BETWEEN 20 AND 30. WHEN YOU PUT ME INTO 6 EQUAL GROUPS, THERE IS AN EVEN NUMBE IUN EACH GROUP AND 1 IS LEFT OVER. WHAT NUMBER AM I?

25

To solve this problem, we need to find a number between 20 and 30 that can be divided into 6 equal groups, with an even number in each group and 1 left over.

We can start by looking at the possible numbers between 20 and 30 that leave a remainder of 1 when divided by 6. We can do this by adding 1 to each multiple of 6 in the given range.

Starting at 20, the possible numbers are: 20 + 1 = 21, 26 + 1 = 27.

Out of these two numbers, only one is between 20 and 30, which is 27. Therefore, the number you are referring to is 27.