At a college election for president, exactly 963 votes were cast.

There are total of 4 candidates that participate in the election.

The winning candidate exceeds the opponents by 53, 79 and 105 votes.

How many votes do each candidate gets ?

Let us assume 'X' to be winner anN rest candidate are L, M & N

L = X - 53

M = X - 79

N = X - 105

X + X - 53 + X - 79 + X - 105 = 963

4X = 1,200

X = 300

L = 300 - 53

L = 247

M = 300 - 79

M = 221

N = 300 - 105

N = 195

Answer: X = 300, L = 247, M = 221, N = 195

Verify the ans

=> 300 + 247 + 221 + 195

=> 963