On Teacher?s Day sweets were to be equally distributed amongst 540 children. But on that particular day 135 children remained absent hence…

Sweet received by each child = (((540 -135)*2) / 135)

= 6

Solution
Let the number of sweet that were supposed to have been distributed originally for each child be X.

So, total number of sweets = 540*X
However, as only 540-135 = 405 students came, each student received X+2 sweets.

So, total number of sweets = 405*(X+2)
As these two are equal, 540*X = 405*(X+2)

Or, 4X = 3(X+2)
So, X=6