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ad-work [718]
3 years ago
5

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?
Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

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.

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