The correct option is B the
The usage of articles 'a', 'an' and 'the' can be seen here -
The indefinite 'a' and 'an' are used before countable noun e.g. a book, a month.
an is used before word starting with vowels(a,e,i,o & u) e.g. an elephant, an apple
option A) and B) both do not fit the answer.
Hence option C) is correct as we are talking about one particular child who is the same person calling his brother.