If a and b are different positive integers and a + b = b(a + b), then which of the following must be true?
I. b = 1
II. a = 1
III. b < a	Choose the correct choice from the following answers.
A) I only B) II only C) III only D) I and II E) I and III
b has to equal a squared, and that only works if b is 1. There are no positive integers less than 1, so I and III are correct.   Answer : I and III
<result>E</result>
If a and b are different positive integers and a + b = b(a + b), then which of the following must be true?
I. b = 1
II. a = 1
III. b < a