Question

Tom, Michael and Jane visit the same sport club. Tom visits the club every 5th day, Michael every 6th day and Jane every 8th day. If all three of them were in the sport club on August 5th, Sunday, what will be the next day when all of them will be there?

Answer 1

Answer: December 3rd.

Step-by-step explanation:

To solve this question, we have to calculate the multiples of 5, 6 and 8 and then choose the lowest common multiple. After then, we add the number chosen to the date earlier given to derive our answer.

For Tom:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120

For Michael:

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

For Jane:

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

L. C. M = 120

It should be noted that when we use the calendar or calculate the number of days we have, August 5 will be 217 days.

The next day when the three of them will be at the sports club will be:

= August 5 + 120

= 217 days + 120 days

= 337 days

The 337th day will be December 3rd.