AMC10 2024 B

AMC10 2024 B · Q1

AMC10 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?

在一长队人从左到右排列中，从左数第1013人是同时也是从右数第1010人。队列中共有多少人？

(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.

如果此人是左数第1013人，则其左边有1012人。如果此人是右数第1010人，则其右边有1009人。因此，总人数为 $1012 + 1 + 1009 = \boxed{\textbf{(B) } 2022}$ 人。

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