Question

. В двух библиотеках было 792 книги. После того, как из одной библиотеки было передано в другую 60 книг, во второй библиотеке книг стало в 2 раза больше, чем в первой. Сколько книг было в каждой библиотеке первоначально?

Answer 1

792/3=264 
264*2=528стало в2-ой библиотеке 
528-60=468-было в 2-ой 
792-468=324-было в 1-ой

Answer 2

Problem Analysis

We are given that there were initially 792 books in two libraries. After transferring 60 books from one library to the other, the number of books in the second library became twice the number of books in the first library. We need to determine the initial number of books in each library.

Solution

Let's assume that the initial number of books in the first library is x. Therefore, the initial number of books in the second library is 792 - x.

According to the given information, after transferring 60 books from the first library to the second library, the number of books in the second library became twice the number of books in the first library. Mathematically, we can represent this as:

(792 - x) + 60 = 2x

Now, let's solve this equation to find the value of x.

(792 - x) + 60 = 2x

Simplifying the equation:

792 + 60 - x = 2x

852 - x = 2x

852 = 3x

x = 852 / 3

x = 284

Therefore, the initial number of books in the first library was 284, and the initial number of books in the second library was 792 - 284 = 508.

Answer

The initial number of books in the first library was 284, and the initial number of books in the second library was 508.