AMC12 2024 B

AMC12 2024 B · Q1

AMC12 2024 B · Q1. It mainly tests Linear equations, Arithmetic misc.

In a long line of people arranged left to right, the 1013th person from the left is also the 1010th person from the right. How many people are in the line?

在一排从左到右排列的人群中，从左数第1013个人也是从右数第1010个人。这排有多少人？

(A) 2021 2021

(B) 2022 2022

(D) 2024 2024

(E) 2025 2025

Answer

Correct choice: (B)

正确答案：（B）

Solution

If the person is the 1013th from the left, that means there is 1012 people to their left. If the person is the 1010th from the right, that means there is 1009 people to their right. Therefore, there are $1012 + 1 + 1009 = \boxed{\textbf{(B) } 2022}$ people in line.

如果这个人是从左数第1013个，意味着他左边有1012个人。如果这个人是从右数第1010个，意味着他右边有1009个人。因此，总人数为$1012 + 1 + 1009 = \boxed{\textbf{(B) } 2022}$。

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