The average weight of all children in a group is 45 kg. If 10 children of average weight 42 kg leave the group and 2 children of average weight 55 kg join the group, then the average weight of the children in the group increases by 1\(\frac{1}{4}\) kg. The number of children in the group initially was:

1
38
2
42
3
48
4
52

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