2. There are a total of 411 cards in two piles. If 39 cards were moved from the first pile to the second, then the first pile would have twice as many cards as the second. How many cards are in each pile?
First solution.

By moving the cards, we get a larger pile with twice as many cards. The smaller pile contains one-third of all the cards, so the total number of cards needs to be divided by 3. 1 POINT

```
411:3 = 137
1 POINT
```

After moving, the larger pile has $2 \cdot 137=274$ cards. 1 POINT

Before moving, the larger pile had $274+39=313$ cards. 1 POINT

After moving, the smaller pile has 137 cards. 1 POINT

Before moving, the smaller pile had $137-39=98$ cards. 1 POINT

TOTAL 6 POINTS

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