Question

a candidate gets 65% of is total votes in an election and wins by 5490 votes. find the total votes cast.​

Answer 1

Question :-

Write the AP when the first term 'a' and the CD'd' is given as a = 4

and d =3

Answer :-

{ A.P. = 4, 7, 10, 13 , 16 }

Given :-

a = 4

d = 3

Here ,

" a " = First term of an A.P

" d " = Common difference of an A.P

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Have to Find :-

Write the A.P.

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Calculations :-

As we all know the formula of finding an A.P .

Let's simply apply the formula here :-

$\large{\boxed{\bold{a_n\:=\:a + (n - 1)d}}}$

aₙ=a+(n-1)d

Second term

↠ a_2 = 4 + (2 - 1) 3

↠ a_2 = 4 + 1 × 3

↠ a_2 = 4 + 3

↠ a_2 = 7

Third term

↠ a_3 = 4 + ( 3 - 1 ) × 3

↠ a_3 = 4 + 2 × 3

↠ a_3 = 4 + 6

↠ a_3 = 10

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Fourth term

↠ a_4 = 4 + ( 4 - 1 ) × 3

↠ a_4 = 4 + 3 × 3

↠ a_4 = 4 + 9

↠ a_4 = 13

Fifth term

↠ a_5 = 4 + ( 5 - 1 ) × 3

↠ a_5 = 4 + 4 × 3

↠ a_5 = 4 + 12

↠ a_5 = 16

A.P. = 4, 7, 10, 13 , 16 .....

Answer 2

Answer:

let the Total Number if Votes Polled be = X

Candidate 1 = 62x/100

Candidate 2 = 38x/100

Since the difference of votes between the two =144

62x/100 - 28x/100 = 144

24x=144x100

x=600