There were two candidates in an election and the successful candidates won by 160 votes. If 2,800 votes were cast, how many votes did each candidate receive?

The losing candidate got 1240 and the winning candidate got 1560.

Step-by-step explanation:

First divide the number of votes by the number of people: 2800/2= 1400.

add 160 to one candidate and subtract 160 from the other.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!