imagine you are on a room where 4people lived. let's consider there weight are below:
- P1 = 82kg
- P2 = 62kg
- P3 = 49kg
- P4 = 73kg
after sum we can see their total weight are 266kg (P1+P2+P3+P4 = 266kg)
now the question: is there any way to find how many people are there just by knowning their total weight? in this case its 266kg
Note: i know its a basic question but currenly i am learning math, thats why i put simple question here too so that i can get a clear overview
HINT:
Suppose that instead of these $4$ people, you had $4$ different people, whose weights are $31$, $38$, $62$, and $69$
Now suppose I weighed some people, and I got a total of $100$. Notice that this could have been from the $31$ and the $69$ persons, but also from the $38$ and $62$.
Or what if the total was $69$? That could have been just the $69$ person by themselves, but it could also be the $31$ together with the $38$ person.
So, in this example, it is not always the case that given some total weight, you can tell which person(s) were being weighed.
Now, you have different numbers to work with, but maybe something like this could happen in your case as well? I think that this is what your question is asking. So see if with your numbers you can get some different combinations of people that add up to the same total weight. And, if you think that in your case this is not possible, try and come up with an explanation (a proof!) that this is not possible ... in which case you can always tell which people were being weighed given the total weight.
Good luck!