# matches problem

**Number Theory**Level 3

From the first group, you removed a number of matches equal to those in the second group, and added them to the second group.

Then from the second group, you removed a number of matches equal to those in the third group, and added them to the third group.

Then, from the third group, you removed a number of matches equal to those in the first group, and added them to the first group.

Lo an behold, there are an equal number of matches in each group.

How many matches were there in the second group originally?

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