Answer:
Andre scored 14 points in the game.
Step-by-step explanation:
Question :
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If
Noah scored 10 points, how many points did Andre score?
Given:
Diego scored 9 points less than Andre in the basketball game.
Noah scored twice as many points as Diego.
Noah scored 10 points
To find Andre's points.
Solution:
Let Andre's score be = [tex]x[/tex] points
Then, Diego's points will be = [tex](x-9)[/tex] points
Noah's points will be = [tex]2(x-9)[/tex] points
Noah's points given = 10 points.
Thus, the equation can be given as:
[tex]2(x-9)=10[/tex]
Solving for [tex]x[/tex].
Dividing both sides by 2.
[tex]\frac{2(x-9)}{2}=\frac{10}{2}[/tex]
[tex]x-9=5[/tex]
Adding 9 both sides.
[tex]x-9+9=5+9[/tex]
∴ [tex]x=14[/tex]
Thus, Andre scored 14 points in the game.
The score of Andre and Diego is 14 and 9 points, respectively.
Given information:
Diego scores 9 points less than Andre in the basketball game.
Noah scores twice as many points as Diego.
Noah's score is 10 points.
Let x be the score of Diego.
So, the score of Andre will be x+9 and that of Noah will be [tex]2x[/tex].
Compare Noah's score to get the value of x as,
[tex]2x=10\\x=5[/tex]
So, Diego's score is 5 points.
Now, the score of Andre will be calculated as,
[tex]x+9=5+9\\=14[/tex]
Therefore, the score of Andre and Diego is 14 and 9 points, respectively.
For more details, refer to the link:
https://brainly.com/question/9132346
