Newspaper Reading Problem

In a class of 50 students:
- 30 students read Hitava
- 35 students read Hindustan
- 10 students read neither

We need to find the number of students who read both newspapers.

Total students who read at least one newspaper = Total students − Students reading neither = 50 − 10 = 40

Using the formula for union of two sets:
$$|H \cup I| = |H| + |I| - |H \cap I|$$
where
\( |H \cup I| = 40 \),
\( |H| = 30 \),
\( |I| = 35 \),
and \( |H \cap I| = ? \)

Rearranging:
$$|H \cap I| = |H| + |I| - |H \cup I|$$
$$= 30 + 35 - 40 = 65 - 40 = 25$$

Number of students reading both newspapers = 25