2. Several people were collecting mushrooms. One of them found 6 mushrooms, and each of the others found 13. Another time, the number of collectors was different. This time, one found 5 mushrooms, and each of the others found 10. In both cases, the same number of mushrooms was collected, more than 100 but less than 200. Find the number of mushroom collectors in each of these cases.
2. The first time there were

![](https://cdn.mathpix.com/cropped/2024_05_21_ec9ddf54a7c86775293eg-068.jpg?height=66&width=705&top_left_y=755&top_left_x=1007)

Fig. 9 is more than 8 but less than 15. The second time it was more than 10 but less than 20. In the second case, one collected 5 mushrooms, the others collected 10 each, so the total number of mushrooms is a number that ends in 5. The number of mushrooms collected in the first case, reduced by 6, should be a multiple of 13, i.e., it can be 104, 117, 130, 143, 156, 169, 182, 195. The total number of mushrooms can be 110, 123, 136, 149, 162, 175, 188. The only number that satisfies the condition of the problem is 175. The first time there were 14, the second time - 18 collectors.