the runner up in an election received 120 fewer votes than the winner. There were 960 votes cast for the two . How many votes did the winner receive?

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Solution

$D e a r S t u d e n t L e t, W i n n e r g o t " X " n u m b e r o f V o t e s T h e r e f o r e, R u n n e r U p w i l l g e t (X - 120) [G i v e n C o n d i t i o n] I t i s g i v e n t h a t T o t a l N u m b e r o f V o t e s C a s t f o r T w o = 960 i . e ., W i n n e r' s V o t e + R u n n e r U p' s V o t e = T o t a l V o t e C a s t e d f o r T w o = > X + (X - 120) = 960 = > 2 X - 120 = 960 = > 2 X = 960 + 120 = > 2 X = 1080 = > X = \frac{1080}{2} = > X = 540 T h e r e f o r e, W i n n e r R e c i e v e s 540 V o t e s O u t o f T o t a l 960 V o t e s C a s t e d R e g a r d s$

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