Barb, Shelley, and Darcy are college roommates. Barb goes to the library every 6 days, Shelley goes the library every 7 days, and Darcy goes to the library every 4 days. If all three of them went to the library today, when is the next time that they will all be at the library on the same day?

Question

Mathematics

Carsen Leon

14 March, 19:15

Barb, Shelley, and Darcy are college roommates. Barb goes to the library every 6 days, Shelley goes the library every 7 days, and Darcy goes to the library every 4 days. If all three of them went to the library today, when is the next time that they will all be at the library on the same day?

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Answers (1)

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Ramiro Waller · Answer 1

Ans; After 83 days i. e. on 84th days

Barb, Shelley, and Darcy are college roommates.

Barb goes to the library every 6 days,

Shelley goes the library every 7 days, and

Darcy goes to the library every 4 days.

If all three of them went to the library today, then the next time that they will all be at the library on the same day will be the LCM of 6,7, and 4 i. e. on 84th day.