Question

Elena and Kiran are playing a board game. After one round, Elena says, "You earned so many more points than I did. If you earned 5 more points, your score would be twice mine!"
Kiran says, "Oh, I don't think I did that much better. I only scored 9 points higher than you did."
If both students were correct, how many points did each student score? Show your reasoning.

Answer 1

Answer:

Elena's points = 14

Kiran's points = 23

Step-by-step explanation:

Let p = Elena's points

p + 9 = Kiran's points

2p = p + 9 + 5

2p = p + 14

p = 14 = Elena's points

     14 + 9 = 23 = Kiran's points

If Kiran scores 5 more points, he would have 28 points which is twice Elena's 14 points