Final answer:
The relationship between the daughters' books is that the second daughter initially had 17 books more than the first one. This is determined by the fact that the second mother provided only 8 books, yet the total collection increase was 25, implying a difference of 17 books was already there.
Step-by-step explanation:
The question is about finding the relation between two different sets of books given to two daughters by two mothers. The first mother gave 25 books and the second one gave 8 books and the total increase in the collection of books is 25. This implies that the second mother's books created a difference of 25-8 = 17 books, meaning the second daughter initially had 17 more books than the first before the new books were given.
This is the relationship between the books of the two daughters.
Mathematically, if we consider the number of books the first daughter initially had as 'a' and the number the second daughter initially had as 'b', and given that the second mother gave 8 books and the total increase in books is 25, the equation will be: a + 25 = b + 8 + 17, simplifying this gives 'a' as the number of books first daughter initially had and 'b' equal to 'a + 17' (the number of books the second daughter initially had).
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