# 2

$$1,2,3,4, \ldots , n$$ 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 $$\frac {1+2}{2} = 1.5 .$$

×