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Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays every sixth day. All of them were at the tennis court on Wednesday, July 18th. What will be the next day, when all three of them will be at the court together?

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sqdancefan

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Answer:

  Wednesday, October 10

Step-by-step explanation:

The least common multiple of 4, 7, and 6 is 4·7·3 = 84. This is a multiple of 7, so the day of the week will be Wednesday. There are 31 days in July and August, and 30 days in September, so the date will be 18 +84 -92 = 10 October.

All three will be at the court together on Wednesday, October 10.

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