Question

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

Answer 1

24 days

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.

Answer 2

Day 24.

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.