How do you solve this easy (but kinda tricky?) math problem?

Question

During the basketball season, Cara scored 25 points more than Annika, and Maria scored 37 points less than Annika. What is the positive difference between the average number of points scored by the three players and the number of points that Annika scored?

Can somebody explain it to me also, Cause i'm not really sure at all. Thank you! And this isn't math homework, its a just for fun math problem I found online.

Native Hanoian · Accepted Answer

Suppose that Annika scored a points
that means Cara scored a + 25 points
taht means Maria scored a - 37 points

Average scores of the players = (a + a + 25 + a - 37)/3
= a - 4
The answer to problem is the positive difference betwwen this average score and a
= I (a - 4) - a I = 4

4 is the final answer to the problem

? · Answer

Based on the information given in the problem, the number of points scored by  the three players are:

Annika: x

   Cara: x + 25
  
  Maria: x - 37

So the average number of points is (x + x + 25 + x - 37) / 3 = x - 4

The difference between the average (x - 4) and Annika's score (x)  is 4

Anonymous · Answer

Let A be the points Annika scored

Carla's score = C = A+25
Maria's score = M = A-37

The total score for all 3 is 3A-12
The average score was A - 4

The difference between that and Annika's score is 4.

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How do you solve this easy (but kinda tricky?) math problem?

3 Answers