2016 AMC 10B Problem 5
Attempt Problem 5 of the 2016 AMC 10B 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 2016 AMC 10B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
5.
The mean age of Amanda’s cousins is and their median age is What is the sum of the ages of Amanda’s youngest and oldest cousins?
Answer: D
Small hint:
The total age is
Big hint:
The two middle ages sum to
Solution:
The total of the four cousin ages is . Since the median is , the two middle ages have average , so their sum is .
Therefore the youngest and oldest ages sum to .
Thus, the correct answer is D.
Problem 5 in other years
- 2000 AMC 10
- 2001 AMC 10
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