Two candidates running for the same office received a total of 1,926 votes. if the winning candidate had 410 more votes than the other candidate, how many votes did the winner receive?

The number of votes received by winner is: 1168

Let the number of vote that is received by winning candidate be: a

and the number of votes received by other candidate be: b

It is given that:

Two candidates running for the same office received a total of 1,926 votes.    

i.e.

and

The winning candidate had 410 more votes than the other candidate.

This means that:

Now on solving the equation by the method of elimination .

i.e.  on adding both the equation we have:

Now on putting the value of a in equation (1) we get:

         Hence, the answer is:  1168

step-by-step explanation: