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?

Explanation

Let's set up an equation to solve this problem. 1. Let the number of pages in the first part be xxx. 2. The second part has 52 pages less than the first part, so it has x−52x - 52x−52 pages. Since the total number of pages in the book is 892, we can write the equation: x+(x−52)=892x + (x - 52) = 892x+(x−52)=892 Solve for xxx: Combine like terms: 1. 2x−52=8922x - 52 = 8922x−52=892 Add 52 to both sides: 1. 2x=9442x = 9442x=944 Divide by 2: 1. x=472x = 472x=472 So, the first part has 472 pages. Find the pages in the second part: The second part has x−52x - 52x−52 pages: 472−52=420472 - 52 = 420472−52=420 Answer: The second part of the book has 420 pages.