3. You are told the following facts about a collection of five numbers: the sum of all the numbers except the first is 23; • the sum of all the numbers except the second is 21; the sum of all the...

Extracted text: 3. You are told the following facts about a collection of five numbers: the sum of all the numbers except the first is 23; • the sum of all the numbers except the second is 21; the sum of all the numbers except the third is 20; • the sum of all the numbers except the fourth is 19; the sum of all the numbers except the fifth is 17. Find the numbers, using any method you like (justify your answer).