in an election a candidate secured 58% of the votes polled and won the election by 18336 votes if the total number of votes are 114600, find the no. of votes secured by each candidate.
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As we know that the candidate secured 58% votes and won by18336 votes.
Total no of votes available is 1,14,600
Let the candidate who lost the election is got 'x' vote
Therefore the candidate who won by 18336 votes got total votes as x + 18336 votes
Therefore x + ( x + 18336) = 1, 14, 600
= 2x + 18336 = 1, 14, 600
Therefore 2x = 1, 14, 600 - 18336
2x = 96264
Therefore x = 96264/2
= 48132
The candidate who lost got 48132 votes and who won got 48132+18336 = 66468 votes
Total no of votes available is 1,14,600
Let the candidate who lost the election is got 'x' vote
Therefore the candidate who won by 18336 votes got total votes as x + 18336 votes
Therefore x + ( x + 18336) = 1, 14, 600
= 2x + 18336 = 1, 14, 600
Therefore 2x = 1, 14, 600 - 18336
2x = 96264
Therefore x = 96264/2
= 48132
The candidate who lost got 48132 votes and who won got 48132+18336 = 66468 votes
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