A regional survey showed that $70$ persons read an English newspaper, $73$ persons read a Bengali newspaper, and $64$ persons read both papers. If $63$ persons do not read any newspaper, how many people were surveyed in total?

Let $E$ be the set of people reading English newspapers and $B$ be the set of people reading Bengali newspapers.
We are given:

$$n(E)=70$$

$$n(B)=73$$

$$n(E\cap B)=64$$

Find the number of people who read at least one newspaper using the set union formula:

$$n(E\cup B)=n(E)+n(B)-n(E\cap B)$$

$$n(E\cup B)=70+73-64=143-64=79$$

The total number of people surveyed includes those who read at least one paper plus those who read none:

$$\text{Total People}=n(E\cup B)+\text{Read None}=79+63=142$$