Latin and Greek

In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have not studied either, how many of these studied both Latin and Greek.

Latin and Greek Puzzle

       3 have not studied either. So 15 - 3 = 12. The people who studied Latin and Greek are 7 + 8 = 15. So 15 - 12 = 3. Therefore 4 have studied Latin, 5 have studied Greek and 3 have studied both.

In a group of 15, 7 have studied Latin, 8 have studied Greek, and 3 have not studied either, how many of these studied both Latin and Greek.

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