Solution:

"Bodo weighs 180 pounds" is the correct answer. His sister weighs 20 pounds. Thus, Bodo weighs 160 pounds more than his sister and their combined weight is 200 as per the problem requirements.

The common mistake is to quickly jump to the conclusion that "Bodo weighs 160 pounds and his sister weighs 40 pounds." But, Bodo would then erroneously weigh 120 pounds more than his sister.

Alternative Solution through Equations:

Let b be Bodo's weight and s be his sister's weight. Then,

b − s = 160; and
b + s = 200.

On solving the above two equations, we get

b = (160 + 200) / 2 = 180.