12 There are X people in the living room, and if there is a seat for every 3 people, there will be 2

Updated on Living room 2024-09-17
2 answers
  1. Anonymous users2024-01-24

    The least common multiple of 5*7*9=315, 315x-1=11y must be an integer.

    When x=8, the minimum number of people in the living room is: 11y= 2519 (y=229).

    There are 2519 people in the living room.

  2. Anonymous users2024-01-23

    There are infinitely many for the following reasons: for example, if the number A satisfies the question condition, then it is obvious that A+1 can be divisible by 3, 5, 7, and 9 (the 3 in the condition does not actually need to appear, because being divided by 9 by the remainder of one does not mean that being divided by 3 also has the remainder of one?). At the same time, A+1 divides 11 by one, so let's construct the number now:

    A+1)*11N+A

    It is easy to know that this number also satisfies the problem condition, and N is a natural number, so there will naturally be an infinite number of numbers that meet the problem condition.

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