A textbook has a total of 892 pages. It is divided into two parts. The second part of the book has 52 pages less than the first part. How many pages are there in the second part of the book?

Correct option is B

​Given:

Total pages in the textbook = 892

Second part has 52 pages less than the first part.

Formula Used:

Let the number of pages in the first part be x .

Then, pages in the second part = x - 52

Total pages in both parts = x + (x - 52)

Solution:

1. Set up the equation based on the given information:

$$x + (x - 52) = 892$$​

​$$2x - 52 = 892$$​​

3. Add 52 to both sides:

​$$2x = 944$$​​

4. Divide both sides by 2 to find x :

​$$x = 472$$​​

Thus, the number of pages in the first part is 472.

5. Calculate the pages in the second part:

​$$x - 52 = 472 - 52 = 420$$​​

Hence, the second part of the book has 420 pages.