Question

The average number of points a basketball team scored for three games was 63 points. In the first two games they scored the same number of points which was 6 points more than they scored in the third game. Write and solve an equation to find the number of points the team scored in each game.

Answer 1

3rd game: 59 The other 2 games 65 each

Explanation:

(x+6)+(x+6)+x:3=63

Multiply all by 3

3x+12=189

3x= 177

x=59 (3rd=59 The other 2 65 each

59+65+65=189

189/3=63

Answer 2

65 , 65 , 59

Explanation:

The average number of points scored for three games was 63 points.

suppose ,

(x+y+z)/3=63.......(1)

First two games they scored the same number of points

so, x=y........(2)

which was 6 points more than they scored in the third game

so, x=6+z........(3)

FROM equation (1)=>

(x+y+z)/3=63

=>(x+x+z)/3=63 [as, x=y]

=>[2x+z] /3 =63

=>[2(6+z)+z] / 3= 63 [as, x=6+z ]

=>(12+2z+z) = 63 . 3 [multiplied by 3 on both side]

=>12+3z =189

=>3z=189-12

=>3z=177

=>z=59

then,

x=6+z [FROM equation (3)]

x=6+59 [as, z=59]

x=65

then,

x=y [FROM equation (2)]

y=65 [as, x=65]