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Each of 5 positive whole numbers is at least 8. The average(arithmetic mean)of t
Each of 5 positive whole numbers is at least 8. The average(arithmetic mean)of t
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2024-01-12
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问题
Each of 5 positive whole numbers is at least 8. The average(arithmetic mean)of these 5 numbers is 24. If the average of two of the numbers is 18, what is the greatest possible value that any of these 5 numbers can have?
选项
A、28
B、50
C、68
D、76
E、84
答案
C
解析
题意是:5个整数都大于等于8,它们的平均值为24,其中两个数的平均值是18,求5个数中最大数的可能值。5个数的和为24×5=120,其中两个数的和为18×2=36,那么剩下的三个数的和为120-36=84,由于每个数都大于等于8,要求最大数的可能值,可以假设其中某两个数为最小值8,那么剩下的那个数取最大值=86-8×2=68。
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