In the last elections of a small town on the coast there were 5,219 votes and four candidates. It is known that the winner of the elections exceeded his opponents by 22, 30 and 73 votes although due to a computer problem, information regarding the exact number of votes that each candidate obtained was lost.
How can we calculate the total votes of each of the four candidates?
If we add the differences of votes with the winner to the total number of votes cast and divide by the number of candidates, the quotient will give us the votes of the winner from which the votes of others can be deducted by subtraction. The results were 1,336 votes for the winner and 1,314, 1,306 and 1,263 for the other candidates.