Grandpa has three apple trees in his garden, and there are a total of 39 apples on them. Apples grow only on eight branches: one tree has two branches bearing fruit, and the other two trees have three branches each. The number of apples on different branches varies, but the number of apples on each tree is the same.

How many apples could there be on each of the branches? Determine at least one possibility.

(A. Bohiniková)

Hint. How many apples were there on each of the trees?
On each apple tree, there is the same number of apples, and there are 39 in total. Therefore, 13 apples grow on each apple tree. On different branches, there are different numbers of apples, and the number of branches on individual trees is 2, 3, and 3.

Thus, we are looking for eight mutually different numbers, from which we select a pair and two triplets with the same sum of 13. Such octets are:

$$
\begin{array}{lll}
2,11, & 1,5,7, & 3,4,6, \\
3,10, & 1,4,8, & 2,5,6, \\
4,9, & 1,5,7, & 2,3,8, \\
5,8, & 1,2,10, & 3,4,6, \\
5,8, & 1,3,9, & 2,4,7 .
\end{array}
$$