At a bus stop row, A is 7th from the left and B is 9th from the right. After interchanging their positions, A becomes 11th from the left. How many people are in the row?

Difficulty: Easy

Correct Answer: 19

Explanation:


Introduction / Context:
Converting a right-side rank to a left-side position uses N − r + 1. Swapping places means A assumes B’s original position.



Given Data / Assumptions:

  • B is 9th from right in a row of N; hence B’s left-rank is N − 9 + 1 = N − 8.
  • After the swap, A’s left-rank is 11 (i.e., A occupies B’s former position).


Step-by-Step Solution:

Set N − 8 = 11 ⇒ N = 19.


Verification / Alternative check:
Check that a 9th-from-right position is indeed 11th from left when N = 19.



Final Answer:
19

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