Each of 5 positive whole numbers is at least 8. The average(arithmetic mean)of t

游客2025-02-23 26

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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