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

Answer:

65 , 65 , 59

Step-by-step 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]

Answer 2

Answer:

3rd game: 59 The other 2 games 65 each

Step-by-step 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