Question

4) Your phone needs to be charged every other day and your tablet needs to be charged every third day. If you charge both today, how many days will it be until you need to charge both on the same day?​

Answer 1

If they were both charged today, it would be on the sixth day that they were actually charging at the same time

Answer 2

To solve this problem, we need to find the least common multiple (LCM) of 2 and 3, which is the smallest number that is a multiple of both 2 and 3.

The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

The smallest number that appears in both lists is 6, which is the LCM of 2 and 3. Therefore, you will need to charge both your phone and tablet on the same day again in 6 days.