There are two bookshelves. If you take out 175 books from the first shelf and put them on the second shelf, the number of books in the second shelf is six times that of the first shelf. It is known that the number of books on the two shelves is equal. How many books are there on each shelf?

Solution: Because the number of books on the original two shelves is equal, we assume that there are X books on each shelf.

(x+ 175)÷(x- 175)=6

x+ 175=6x- 1050

5x= 1225

x=245

A: It turns out that there are 245 books on each shelf.