Pick a lottery number

Number Theory Level pending

We had four cards numbered \(1\),\(2\),\(3\) and \(4\) respectively. Three of the four cards are placed into the boxes as shown in the equation below.

\(n\)=\(5\)+\(\boxed{}\)+\(\boxed{}\)-\(\boxed{}\)

Find the sum of the numbers possible for obtaining \(n\).

Source from PMWC.

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