In their first football game hunter high defeated booker high by 21 points.

Question

in their rematch hunter scored 14 more points than in game one, and again won by 21 points. the sum of booker high scores for the 2 games was 28 points. how many points did hunter score in game one?

Answer 1

Let B= Booker's score in game 1

B=7 points

Let H1=Hooker's score in game 1

Let H2=Hooker's score in game 2

Game 1: H1=B+21

Game 2: H2=14 + H1 = 14+B+21

B+B+14 = 28

2B = 28-14= 14

B = 14/2 = 7 for game 1

B+14 = 7+14 = 21 for game 2

H1 = 7+21 = 28 which is 21 more than B's 7 points

H2=14+28=42 which is 21 more points than B's 21 points