Pick a lottery number

Number Theory Level pending

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

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

Find the sum of the numbers possible for obtaining n n .

Source from PMWC.


The answer is 51.

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