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In a town election, the winning candidate had 220 more votes
than the loser. If 810 votes were cast in all, how many votes did each candidate
receive?
Total votes cast = 810
Let the number of votes obtained by the loser = x
the number of votes obtained by the winner = x+220
therefore the number of votes = sum of votes obtained by (winner+loser)
810 = x+x+220
810-220 = 2x
590 = 2x
x = 590/2 = 295
x+220 = 295+220 = 515
The number of votes obtained by the loser = 295
The number of votes obtained by the winner = 515
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