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?

Answer 1

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]
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Answer 2

Winner: 708 votes Loser: 693 votes

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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