What three odd integers have a sum of 30?

Question

I've been asked the following question:

What three odd integers from the set {1,3,5,7,9,11,13,15} that when summed together equals to 30? Note that any integer can be used more than once.

Is there any possibility to solve these kind of questions with some formulae? Note I have gone through the answers for making it with 5 numbers.

Answer 1

Note that all the elements of the set are odd.

Hence, even if we repeat, we have, w.l.o.g, the following cases

(i) Odd $x$ + Odd $x$ + Odd $y$ = Even+Odd=Odd

(ii) Odd $x$ + Odd $y$ + Odd $z$ = Odd

(iii) Odd $x$ + Odd $x$ + Odd $x$ = Even+Odd=Odd

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.... while $30$ is even.

I actually remember this question which is rumored to be from an IAS exam and no one could solve it except the topper. That's actually a false rumor.

The only way you can get $30$ is by doing it in a mathematically incorrect way (by a "trick"), like $7.5+9.5+13=30$

Other than that, this question simply is a bogus question.