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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 same size.Mathematics physics books are to be packed in separate bundles each bundle must contain same number of book.Find the total no. of bundles ?

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Solution

Answer:
Bookseller purchased 117 books out of which 45 books of mathematics and 72 books of physics
For find how much books contains in one bundle , We find H.C.F of 45 and 72 As
apply Euclid's division lemma , we get
72 = 45 * 1 + 27
45 = 27 * 1 + 18
18 = 9 * 2 + 0

So H.C.F. of 45 and 72 is 9 , that's the number books in one bundle , total number of books = 117

So total bundle form by these books of same size = 1179
= 13 bundles ( Ans )

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