Question

Last year Akhilbabu and Chhandadebi were the candidates in Bakultala Gram-Panchayet election.Akhilbabu defeated Chhandadebi by 75 votes.If 20% of the voters who have casted Akhilbabu would have casted to Chandadebi then Chhandadebi could be won by 19 votes.By forming simultaneous equations let us solve and find out how many votes each of them had got.​

Answer 1

Answer:

Given:

• Akhilbabu defeated chanda devi by 75.

• If 20% of the voter who have casted akhilbabu would have casted to chandadevi, then chanda devi could be won by 19 votes.

To Find:

• How many votes each of them had got?

Solution: Let us assume that, Akhilbabu got total x votes and Chanda Devi got total y votes.

(x> y.)

SO,

X- y = 75 Egn. (1)

also, (y + 20% of x) - (x - 20% of x) = 19

or, [y + (x / 5)} - {x - (x / 5)} = 19

or, {y + (x / 5)} - (4x / 5) = 19

or, y- (3x / 5) = 19

of, 5y - 3x = 95 Eqn. (2)

Multiply Eqn. (1) by (-3) and subtracting from Egn. (2), we get,

(5y - 3x) {(-3) (x - y)} = 95

or, {(-3) * 75)

or, (5y - 3x) - (-3x + 3y) = 95

or, (-225) + 5y - 3x + 3x - 3y = 95

or, 225 2y = 320 + y = 160.

putting value of y in Egn. (1),

X - 160 = 75

or, X = 75 + 160

or, X=235

vote of Akhilbabu is 235 and of Chandebi is 160