Question : In an election contested between A and B, A obtained votes equal to twice the number of person 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.
Doubt by Ananya
Solution :
Let the number of votes obtained by A = x
and the number of votes obtained by B = y
Total number of people on the electoral roll = 18000
No. of people who didn't vote = 18000-x-y
Majority of Votes = x-y
ATQ
x=2(18000-x-y)
x=36000-2x-2y
x+2x+2y=36000
3x+2y=36000 -------(1)
Also
18000-x-y=2(x-y)
18000-x-y=2x-2y
18000=2x-2y+x+y
18000=3x-y
3x-y=18000 --------(2)
on solving (1) and (2)
3x+2y=36000
3x-y =18000
- + -
-------------
0+3y=18000
3y=18000
y=18000/3
y=6000
∴ 6000 people voted for B.