There are 15 books arranged in a row at the Central Library, New York.
The history book is 5th from the left side of the row, and the geography book is 8th from the right side of the row.
What is the total number of books between the history and the geography books?
Position of the history book
= 5th from the left
Position of the geography book
= 8th from the right
Let's draw a number line to show the position of both the books.
Hence, from the diagram above, we can see that there are two books between the history and geography books.
We can also use the method given below to determine the same.
The number of books between the history and geography books is
= Total number of books – (Position of the history book from left + Position of the geography from right)
= 15 – (5 + 8)
= 15 – 13
= 2
Hence, there are 2 books between the history and geography books.