In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually receive?

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Answer 1 · 2017-04-20T11:04:57

Winner got #728# votes and loser got #673# votes in the election.

Let Winner(W) got #w# votes. and Loser(L) got #l# votes.
#w+l=1401#(1)

If #30# votes had switched then #(l+30) -(w-30) =5 or l-w = 5-60 or w-l=55#(2)

Adding equation (1) and equation (2) we get #2w=1456 or w=728 :.l=1401-728 =673#

Winner got #728# votes and loser got #673# votes in the election. [Ans]