Question

in an election contested between A and B, A obtained votes equal to twice the no. 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 voted for B. Plss ans this question by using quadratic equation!!!​

Answer 1

hoi

user

Sol: 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

u can replace the value of y in the given equation

hoping helps you

if any correction in this pls tell

Answer 2

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

hey here is your answer