Venn Diagram Problem

Question

Problem: There are $50$ people in a room. $28$ are male, and $32$ are under the age of $30$. Twelve are males under the age of $30$. How many women over the age of $30$ are in the group?

(A) $2$

(B) $3$

(C) $4$

(D) $5$

(E) $6$

The correct answer is (A). The issue I have with this question is the wording, which I believe to be incorrect. The way I solved this problem is that I set up a Venn diagram with the left circle called "male" and the right circle called "under the age of $30$". After calculating the left space and right space ($16$ and $20$ respectively) based on the given shared space $(12)$, I subtracted. $50-(16+12+20)=2$. Since the only category left is the number of females whose age is either over or equal to $30$, then $2$ females are either over or equal to $30$. However, the question asks how many females are over $30$. But they are leaving out the equal to so the wording is wrong isn't it?

Answer 1

There is $22$ womens and $20$ of them are under $30$ so ...

Answer 2

Yes your approach and answer is correct. And I also thinks that there is some problem in wording. It may be possible that $30$ is included in the word "under the age of $30$". But it should be distinctly mentioned.