1958 AMC 12 Problem 26
Attempt Problem 26 of the 1958 AMC 12 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 1958 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
26.
A set of numbers has the sum Each number of the set is increased by then multiplied by and then decreased by The sum of the numbers in the new set thus obtained is:
Answer: B
Small hint:
Apply all three operations to a typical original number
Big hint:
After simplifying the transformed number, sum over all entries
Solution:
An original number becomes Summing over the original numbers therefore gives
Thus, the correct answer is B.
Problem 26 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1959 AMC 12
- 1960 AMC 12
- 1961 AMC 12
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