If s,u, and v are positive integers and 2s=u+2v, which of the following must be true?
i. u>v
ii. u is not equal to v
iii. s=u	Choose the correct option.
A) None  B) I only  C) II only  D) III only  E) II and III
Notice two things: 1. we are asked to find out which of the following MUST be true, not COULD be true and 2. s, u, and v are positive integers.   Given: 2s=2u+2v --&gt; s=u+v. Now, since s, u, and v are positive integers then s is more than either u or v, so I is never true and III is always true. As for II: it's not necessarily true, for example 4=2+2. So, we have that only option I must be true.   Answer: I only
<result>B</result>
If s,u, and v are positive integers and 2s=u+2v, which of the following must be true?
i. u>v
ii. u is not equal to v
iii. s=u