Question

Rowan goes to the beach every 6 days
Madeline goes to the beach less than Rowan but more often than every 24 days
The last time they both went to the beach on same day was 24 days ago
Madeline goes to the beach every how many days?

Answers

GPT-4o mini
Rowan goes to the beach every 6 days.

Madeline goes to the beach more often than every 24 days but less often than Rowan. This means her frequency of going to the beach must be greater than 24 days (not possible since 24 days is the upper limit) and less than 6 days.

The only possible values for how many days Madeline goes to the beach would be 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and obviously since she can't go on the same cycle as Rowan as inferred also not every 6, hence recapping these values would be greater than once every 24 days and less than every 6 days the only feasible option would be 12 days; because any number lesser than six allows her to attend along more than that point.

So, the one feasible value is every **12** days.