Question 763595: The average age of three persons is 46 years. If no one of them is less than 40 years old, then what is the maximum age of any one man? Answer by ramkikk66(644) (Show Source):
You can put this solution on YOUR website! Average age is 46 years
Hence total age = 46*3 = 138
Minimum age of each is 40 years.
When 2 of the 3 people are at the minimum age, the 3rd would have to be at the maximum age, to maintain the average.
So, when 2 people are at 40, their combined age = 40 + 40 = 80, and the total age is still 138.
Hence the 3rd person's age = 138 - 80 = 58.
58 is the maximum age of any one man. Note that if one of them were to be *above* 58, then one of the other 2 would have to be *less than* 40 to maintain the average. Since the minimum age is given as 40, the maximum age of any one man is .
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