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

24 days

Step-by-step explanation:

If Rami has swimming lessons every 3 days and guitar lessons every 8 days and he has both lessons on the first day of the month. Then the days he will be having swimming lessons in the month are;

1, 4, 7, 10, 13, 16, 19, 22, 25, 28 (adding 3)

The days he will be having guitar lessons in the month are;

1, 9, 17, 25.

Therefore, Rami have both lessons on 25th day which is 24 days after the first day.