7.2 Can 8 numbers be chosen from the first hundred natural numbers so that their sum is divisible by each of them
Answer. Yes. Solution. An example of the required numbers can be $1 ; 2 ; 3 ; 6 ; 12 ; 24 ; 48 ; 96.3$ here the sum 192 is divisible by each of the numbers. This example is not unique; others can be provided, such as $1 ; 2 ; 3 ; 4 ; 5 ; 15 ; 30 ; 60$ with a sum of 120.