2022 AMC 8 Problem 5
Attempt Problem 5 of the 2022 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2022 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
Anna and Bella are celebrating their birthdays together. Five years ago, when Bella turned 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 years. How many years older than Bella is Anna?
Answer: C
Small hint:
Bella is years older now than when she turned
Big hint:
Find Bella’s current age and the kitten’s current age before finding Anna’s
Solution:
If Bella was five years ago, then she is right now.
If the kitten was a newborn five years ago, then it is right now.
Since the sum of all ages is Anna’s age is
Since Anna is and Bella is she is years older than Bella.
Thus, the correct answer is C.
Problem 5 in other years
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