student election 584 students voted for 1 of 2 candidates. Winner received 122 more votes than loser how many votes were cast for each candidate

There are 584 students who will vote for two
candidates.

Then the total votes for both candidates is 584
vote.

Given that the winner candidate received 122 more votes than
the loser candidate.

Let the winner candidates recieves  x
votes.

Then, the loser candidate will receive  x -
122.

==> x + ( x-122) =
584

==> 2x - 122 =
584

==> 2x = 706

=> x =
706/2 = 353

Then the winner received 353
votes.

The loser recieved 353-122 = 231
votes