Though stated in the body of the original Constitution, Article II, Secotion 1, the 25th Amendment (XXV) further clarifies that the Vice President is always the direct successor to the President (in the event of his/her death, or other special circumstances elaborated on therein).
Additionally, the 20th Amendment (XX) provides that in the event of the President-elect's death (again, among other things) prior to being swort in, the Vice-President elect is to then serve as President in his place (from innauguration day until the end of the original term 4 years later).
If a President dies and the Vice President takes over, the new President would appoint a vice president, authorized by the 25th amendment.
The Twelfth Amendment
The 12th amendment has this effect. It provides for separate elections of the president and vice-president.
The twelfth amendment to the US Constitution was intended to prevent having a President and Vice President voted in who were at odds with each other. Formerly, the Vice President was the presidential candidate with the second most votes. The amendment made it so that the Vice President was voted for separately and required a majority of the votes.
The president and vice president ran together in elections.
The 12th Amendment to the U.S. Constitution separated the elections of the President and Vice President.
The 12th amendment
The 12th Amendment has the president and vice president run together, where in the past, of the two people running for president, the winner became president and the loser became the vice. Now, because of the 12th amendment, the president and vice president can come from the same party.
25th amendment
The Twelfth Amendment under the current party system guarantees that the president and vice president will be from the same party.
The 12th Amendment clarifies the election process for the offices of president and vice-president.
This is false. The amendment actually requires separate ballots for president and vice-president.