Mathematics: 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?

i play jailbreak sorryStep-by-step explanation:...

Two candidates running for the same office received

markmeinberg

11.03.2022

The number of votes received by winner is: 1168

Step-by-step explanation:

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.

a+b=1926--------------(1)

and

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

This means that:

a-b=410--------------(2)

Now on solving the equation by the method of elimination .

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

$2a=1926+410\\\\i.e.\\\\2a=2336\\\\i.e.\\\\a=1168$

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

$1168+b=1926\\\\i.e.\\\\b=1926-1168\\\\i.e.\\\\b=758$

Hence, the answer is: 1168

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