Question

john goes to the clinic every 6days maria goes after every 8 days and Bruce goes after every 12 dags if all of them went to the clinic on 17th February 2020 on which day did they go together again​

Answer 1

We can find the next time that John, Maria, and Bruce will all go to the clinic together by finding the least common multiple (LCM) of their visit frequencies.

The visit frequency of John is 6 days, Maria is 8 days, and Bruce is 12 days. To find the LCM, we can list out the multiples of each number until we find a common multiple:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120...

From the lists above, we can see that the next time they will all go to the clinic together is on the 24th day, which is the least common multiple of 6, 8, and 12. Therefore, John, Maria, and Bruce will all go to the clinic together again on March 12th, 2020 (since February only has 29 days in a leap year).

Explanation:

Answer 2

To find out when John, Maria, and Bruce will all go to the clinic on the same day, we need to find the least common multiple (LCM) of the numbers 6, 8, and 12, which represents the number of days that will pass before they all meet at the clinic again.

First, we can list the multiples of each number until we find a common multiple:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, ...

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

From these lists, we can see that the LCM of 6, 8, and 12 is 24. Therefore, John, Maria, and Bruce will all go to the clinic on the same day again in 24 days from February 17th, 2020.

To find out the exact date, we can add 24 days to February 17th, 2020:

February 17th + 24 days = March 12th, 2020

Therefore, John, Maria, and Bruce will all go to the clinic together again on March 12th, 2020.