Okay so this is a classic parallelism question. When we see BOTH in the GMAT, it almost always needs to follow an AND! Also, the thing following BOTH needs to be strictly parallel to the thing following the AND. For example,
Charles, aka GMAT Ninja, is both a cerified genius and an amazing human being.
The two things after
both and
and are:
1. a certified genius
2. an amazing human being
are they strictly parallel? Yup! So GMAT likes this.
Similarly,
Charles, aka GMAT Ninja, is a great tutor both because he is empathetic to his students and because he has years of experience teaching.
Here
both and
and connect
1. because he is empathetic
2. because he has years of experience teaching
Are they parallel? Absolutely! Also, works!
BUT,
Charles, aka GMAT Ninja, is both a passionate food critic and he is also an amazing teacher.
Here,
both and
and connect
1. a passionate food critic
2. he is also an amazing teacher
Are they parallel? NO. GMAT hates this sentence.
Now use this logic to the original question and you will see that none of the choices have appropriately parallel things following BOTH and AND. The sentence that does not use BOTH at all is the right one.