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Justine has a large bag of candy. She splits the candy equally between herself and her 44 friends, but she needs to discard three candies before dividing so that everyone gets an equal number of candies. Justine then splits her share of the candy between herself and her two siblings, but she needs to discard one candy before dividing so that she and her siblings get an equal number of candies. If Justine had instead split all of the candy that was originally in the large bag between herself and 1414 of her classmates, what is the fewest number of candies that she would need to discard before dividing so that Justine and her 1414 classmates get an equal number of candies?

 
 Feb 27, 2021

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