Question

A bookseller purchased 117 books out of which 45 books are of mathematics and the remaining 72 books are of physics. ​Each book has the same size. Mathematics and physics books are to be packed in separate bundles and each bundle must contain same number of books. Find the least number of bundles which can be made for these 117 books.

Answer 1

Answer :

A bookseller purchased 117 books out of which 45 books are of mathematics and 72 books are of physics.
And
Each book has same size .

Now we find HCF of 45 and 72 , To find number of books can be arrange in one bundles .

45 = 3 $\times$ 3 $\times$ 5

72 = 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 3

So,

HCF ( 45 and 72 ) = 3 $\times$ 3 = 9

Then ,

The least number of bundles which can be made for these 117 books = $\frac{117}{9}$ = 13 ( Ans )