2022 AMC 8 第 5 题

先试着解答 2022 AMC 8 第 5 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2022 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

5.

Anna 和 Bella 正在一起庆祝生日。五年前,Bella 满 66 岁时,她收到了一只刚出生的小猫作为生日礼物。今天两个孩子和这只小猫的年龄之和为 3030 岁。Anna 比 Bella 大几岁?
Anna and Bella are celebrating their birthdays together. Five years ago, when Bella turned 66 years old, she received a newborn kitten as a birthday present. Today the sum of the ages of the two children and the kitten is 3030 years. How many years older than Bella is Anna?
11
22
33
44
55
答案:C
知识点:年龄问题一次方程
小提示:
现在是 55 年后,而当时 Bella 刚满 66 岁。
Bella is 55 years older now than when she turned 66
大提示:
先求 Bella 和小猫现在的年龄,再求 Anna 的年龄
Find Bella’s current age and the kitten’s current age before finding Anna’s
解答:
Bella 五年前 66 岁,所以现在 1111 岁。
小猫五年前刚出生,所以现在 55 岁。
三者共有 33 个年龄,总和为 3030,所以 Anna 的年龄是 30−5−11=1430-5-11 = 14
Anna 1414 岁,Bella 1111 岁,所以 Anna 大 33 岁。
正确答案是 C。
If Bella was 66 five years ago, then she is 1111 right now.
If the kitten was a newborn five years ago, then it is 55 right now.
Since the sum of all 33 ages is 30,30, Anna’s age is 30−5−11=1430-5-11 = 14
Since Anna is 1414 and Bella is 11,11, she is 33 years older than Bella.
Thus, the correct answer is C.
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