You are standing on a middle rung of a ladder. If you first climb up 3 rungs, then down 5 rungs, and then up 10 rungs, how many rungs are on the ladder?

There are minimum 16 rungs in the ladder.

Step-by-step explanation:

If there are 2x number of rungs in the ladder, then my initial position is x.

Now, if I climb up 3 rungs then my position is (x + 3).

Now, if then I go down 5 rungs then my new position will be { (x + 3) - 5} = (x - 2)

Now, again if I climb up 10 rungs then my final position will be { (x - 2) + 10} = x + 8.

Hence, if my final position is top of the ladder then x + 8 = 2x

⇒ x = 8

⇒ 2x = 16

Therefore, there are minimum 16 rungs in the ladder. (Answer)