\( 1,2,3,4, \ldots , n \) is the set of first \( n\) natural number.

Now we take out any two consecutive number (say \(k\) and \(k+1\)) from the list such that the average of the remaining numbers is 26.25.

Find the value of \(n + k . \)

Clarification: The value of \(k\) is the smallest of the two consecutive integers.

Average of \(1\) and \( 2 \) is \(\frac {1+2}{2} = 1.5 . \)

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