In a library, 2/5 of the total books are Hadith books. Three fourths (3/4) of the remaining books are Mathematics books. The 642 books remaining are on other subjects. Find the total number of books in the library?

Answer: 4280
Explanation

Let's denote the total number of books as x.

Hadith books = 2/5 × x = 2x/5

Remaining books = x - 2x/5 = 3x/5

Mathematics books = 3/4 × 3x/5 = 9x/20

Books on other subjects = 3x/5 - 9x/20

= (12x - 9x)/20

= 3x/20

Given that the number of books on other subjects is 642:

3x/20 = 642

x = 642 × 20/3

x = 4280

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