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In a group of 82 students 59 are taking english 46 are

Question: (a) In a group of 82 students, 59 are taking English, 46 are taking mathematics, and 12 are taking neither of these subjects. How many are taking both English and math?

(b) In a group of 97 students, the number taking English is twice the number taking math. Fifty-three students take exactly one of these subjects and 15 are taking neither course. How many students are taking math? How many are taking English?

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Mathematics: In a group of 82 students 59 are taking english 46 are

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