Respuesta :
Other four Positive whole number is 13
What is whole number?
The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. It is represented by the symbol “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}. Zero as a whole represents nothing or a null value.
According to the question
First, we consider that if we add together three equal numbers, the result must be a multiple of three. For example, 7 + 7 + 7 = 21, or 11 + 11 + 11 = 33.
Algebraically, we'd say that n + n + n = 3n.
So this means that if we subtract the first number (the one that's a multiple of 19) from 97, we will have a result that is a multiple of 3.
What could the first number be? 19, 38, 57 or 76 . Any other value is larger than the sum of 7, which is not possible if all the integers are non-negative.
Based on this, we can find all possible sums of the other four numbers, by subtracting each of the numbers above from 96:
96 - 19 = 77
96 - 38 = 58
96 - 57 = 39
96 - 76 = 20
Remember what I said earlier? The other four numbers must add to a multiple of 3. The only one of those sums above that is a multiple of 3 is 39. Therefore, we conclude that the first number is 57, and the other four numbers are each 13 (because 39 / 3 = 13).
Hence, other four number is 13
To learn more about whole number from here
https://brainly.com/question/17429689
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