Question

in an election contested between A and B, A obtained votes equal to twice the number of persons on the electoral roll who did not cast their votes and this later number was equal to twice his majority over B if there were 18000 persons on the electoral roll how many votes for B?

Answer 1

Let x and y be the number of votes for A and B respectively.
The number of persons who did not vote = (18000 – x – y)
A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes
⇒ x = 2(18000 – x – y)
⇒ 3x + 2y = 36000 ---------------(1)
Number of persons on the electoral roll who did not cast their votes is equal to twice the majority of A over the majority of B
(18000 – x – y) = (2) (x – y)
⇒ 3x – y = 18000 ----------------(2)
Solving equations 1 and 2, we get
x = 8000 and y = 6000
Therefore number of votes for B = 6000