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Bunuel
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Bunuel
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sssdd1234
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Could you elaborate a bit more why if no athlete's age is less than the average, all their ages must be the average?
Say there are 3 athletes with ages x, y, and z, and their average age is m. The sum of the ages is x + y + z = 3m. Since none of the athletes' ages is less than m, if any age were greater than m, the sum would exceed 3m, which contradicts the given sum. Therefore, all the ages must be equal to m.

Does this make sense?
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This does- thank you so much Bunuel!
Bunuel
sssdd1234
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Could you elaborate a bit more why if no athlete's age is less than the average, all their ages must be the average?
Say there are 3 athletes with ages x, y, and z, and their average age is m. The sum of the ages is x + y + z = 3m. Since none of the athletes' ages is less than m, if any age were greater than m, the sum would exceed 3m, which contradicts the given sum. Therefore, all the ages must be equal to m.

Does this make sense?
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