Question

A book vendor has 392 books in Hindi and 637 books in English. He wants to pack them in boxes such that • each box contains either Hindi books or English books, (but not both), • the number of books in ALL the boxes is the same, • he uses the least number of boxes possible. What would be the number of books in each box? How many boxes would he need?​

Answer 1

Answer:

8 isthe is the answer of the question

Answer 2

Answer:

The book vendor needs to put 49 books in each box. With this he need 13 boxes for English books and 8 boxes for Hindi books.

Step-by-step explanation:

The given question is nothing but to find the Highest Common Factor of the given two numbers.

The Highest Common Factor here will achieve the goals of  putting same number of books in each box and the least number of boxes.  

Since here 49 is the highest common factor, we put 49 books in each box.

With this we achieve the goal of using the least possible boxes, because using any other factor fox example 7, 14 will increase the number of boxes.

For English Books :

49 books x 13 boxes = 637 ;

For Hindi Books:

49 books x 8 boxes =392 ;