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Два математика

Если была – скажите, удалю.

Встречаются как-то два знакомых математика А и В, давно не видевшиеся. А: "У меня есть трое сыновей."
В: "Сколько им лет?"
А: "Произведение их возрастов равно 36."
В: "Этого мне недостаточно, чтобы дать ответ."
А: "Сумма их возрастов равна номеру твоего дома."
В: "Этого мне тоже недостаточно."
А: "Мой старший сын имеет рыжие волосы." Теперь B сказал возраста сыновей. Сколько лет каждому из них?

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