Twenty-second Amendment to the United States Constitution
As worded, the primary focus of the 22nd Amendment is on limiting individuals twice elected to the presidency from being elected again. Due to this, several issues could be raised regarding the amendment's meaning and application, especially in relation to the 12th Amendment, ratified in 1804, which states, "But no person constitutionally ineligible to the office of President shall be eligible to that of Vice-President of the United States". While it is clear that under the 12th Amendment the original constitutional qualifications of age, citizenship, and residency apply to both the president and vice president, it is unclear whether someone who is ineligible to be elected president could be elected vice president. Because of this apparent ambiguity, there may be a loophole in the 22nd Amendment whereby a two-term former-president could be elected vice president and then succeed to the presidency as a result of the incumbent's death, resignation, or removal from office (or even succeed to the presidency from some other stated office in the presidential line of succession).
Twentieth Amendment to the United States Constitution
Section 2 moves the yearly start date of congressional sessions from the first Monday in December, as mandated by Article I, Section 4, Clause 2, to noon on January 3 of the same year. This change eliminated the extended lame duck congressional sessions. As a result of this change, if the Electoral College vote has not resulted in the election of either a president or vice president, the incoming Congress, as opposed to the outgoing one, would have to do so, following the process articulated in the Twelfth Amendment.