Exactly 20 years ago, the mean age of a group of boys was 15.7 years and the

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Exactly 20 years ago, the mean age of a group of boys was 15.7 years and the sum of the squares of their ages was 16000. If the sum of the squares of their ages has increased by 8224 in this 20-year period, find the number of boys in the group.

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