Question #239794

   On the first day of the month, 4 customers come to a restaurant. Afterwards, those 4 customers come to the same restaurant once in 2,4,6 and 8 days respectively.

a)     On which day of the month, will all the four customers come back to the restaurant together?

b)     Briefly explain the technique you used to solve (a).



1
Expert's answer
2021-09-21T05:03:13-0400

a)

The four customers come back to the restaurant together  on the 25th day of the month.


b)

First client: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,291, 3, 5, 7, 9, 11, 13, 15,17,19,21,23,\colorbox{aqua}{$25$},27,29

Second client: 1,5,9,13,17,21,25,291, 5, 9, 13, 17, 21, \colorbox{aqua}{$25$}, 29

Third client: 1,7,13,19,251, 7, 13, 19, \colorbox{aqua}{$25$}

Fourth client: 1,9,17,251, 9, 17, \colorbox{aqua}{$25$}


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