Question 110227

 the {{{winning}}} candidate ( let him be {{{x}}}) had {{{220}}} more votes than the {{{loser}}} (let him be {{{y}}}) 
 {{{x = y + 220}}}

 If {{{810}}} votes were cast in all, then

{{{810 = x + y}}} 

{{{810 = y + 220 + y}}} 
{{{810 = 2y + 220 }}}....move {{{220}}} to the left 

{{{810 - 220 = 2y}}} 
{{{590 = 2y}}} 
{{{ y = 295}}}...........votes that {{{loser}}} did receive


{{{x = y + 220}}}
{{{x = 295 + 220}}}
{{{x = 515}}}...........votes that {{{winning}}} candidate did receive

check:

{{{810 = x + y}}} 
{{{810 = 515 + 295}}} 
{{{810 = 810}}}