7. Find the number of days

\(A\) and \(B\) can complete a work in 96 days, \(B\) and \(C\) can complete the same work in 120 days, \(C\) and \(A\) in 160 days. How many days will it take for \(A\) alone to complete the work?

 

The number of days it takes for \(A\) alone to complete the work is