When asked the time of the day, a problem-posing professor answered, “If you add one-eighth of the time from noon until now to one-quarter the time from now until noon tomorrow, you get the time exactly.” What time was it?

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 When asked the time of the day, a problem-posing professor answered, “If you add one-eighth of the time from noon until now to one-quarter the time from now until noon tomorrow, you get the time exactly.” What time was it?

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