Question

In a survey of $120$ town residents regarding three newspapers—*The Herald* ($H$), *The Express* ($E$), and *The Nation* ($N$)—it was found that $52$ read *The Herald*, $45$ read *The Express*, and $60$ read *The Nation*. Furthermore, $15$ read both *The Herald* and *The Express*, $22$ read both *The Express* and *The Nation*, and $18$ read both *The Herald* and *The Nation*. If the number of residents who read none of these three newspapers is twice the number of those who read all three newspapers, how many residents read exactly two of the newspapers?