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 18,000 persons on the electoral roll, how
many voted for B​

Answer 1

Answer:

Step-by-step explanation:

Let the number of those who did not vote = x

Those who voted = (18000 - x)

A obtained = 2x

B obtained the number who voted less the number A got

= (18000 - x) - 2x = 18000 - 3x

Majority over B = A votes -  B votes

                        = 2x - (18000 - 3x)

                        = 5x - 18000

"this later number was equal to the twice his majority over B"

From this statement;

x = 2(5x - 18000)

x - 10x = -36000

9x = 36000

x = 4000

B got (8000 - 3x) votes = 18000 - 3(4000)

                                    = 6000 votes