please,answer this question.

Q. In a election the votes cost for two of the candidates were in the ratio 5 :7. If the successful candidate received 20734 votes, how many votes did his opponent receive.  

Dear Student,

Let the votes received by the successful candidate be 7x, and that of his opponent be 5x, respectively.Then, according to question,7x = 20734 x = 207347 = 2962Thus, votes received by the unsuccessful candidate = 5x = 5 × 2962 = 14810 votes

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Let the candidate with the least vote be x
The sucesful candidate is the candidate with the highest ratio
Therefore,
5/7=x/20734
x=5*20734/7
x=5*2962
x=14810 votes

Thus the lost candidate won 14,810 votes
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