Rami has swimming lessons every 3 days and guitar lessons every 8 days. If he has both lessons on the first day of the month, in how many days will rami have both lessons on the same day

Day 24.

Step-by-step explanation:

Where 3 and 8 have a common multiple will be the day they meet. The multiples of 3 are 1, 3, 6, 9, 12, 15, 18, 21, 24, 27. The multiples of 8 are 1, 8, 16, 24, 32. 24 is a multiple of both. Rami will have both on day 24.