Question

❤️BRAINLY CHALLENGE ❤️

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 was 18,000 persons on the electoral roll.How many voted for B.

❣️❣️❣️Solve and earn 50 points❣️❣️❣️
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Answer 1

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

Answer 2

Let the number of those who didn't vote be x

those who voted = (18000-x)

A obtained = 2x

B obtained the no. who voted less the no. A got

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

Majority over B = A votes - B votes

= 2x - (18000-3x)

=5x - 18000

$\underline\bold{this \:later\: no. \:was \:equal\: to}$
$\underline\bold{the\: twice\: his \:majority \:over\: B.}$

From this statement

x = 2(5x-18000)

x-10x = 36000

x = 4000

B got = 8000-3x = 8000 - 3(4000) = $\large\boxed{6000 votes}$

$\huge\mathfrak{brainliest\:plz}$