Two teachers, Ms. Ames and Mr. Betancourt, each had \(N\) cookies. Ms. Ames was able to give the same number of cookies

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Two teachers, Ms. Ames and Mr. Betancourt, each had \(N\) cookies. Ms. Ames was able to give the same number of cookies to each one of her \(24\) students, with none left over. Mr. Betancourt was also able to give the same number of cookies to each one of his \(18\) students, with none left over. What is the value of \(N?\)

(1) \(N < 100\)

(2) \(N > 50\)

Answer: A

Source: Magoosh