Question
3 boys sat for a test. Aaron and Bala had an average score of 80 marks. Bala and Curt had an average score of 88 marks. The total score of the three boys is 250. What is Bala's score?
Answers
Answered by
GPT 3.5
Let X be Aaron's score.
Let Y be Bala's score.
And let Z be Curt's score.
We know that X + Y + Z = 250. (Equation 1)
We also know that (X + Y) / 2 = 80, which simplifies to X + Y = 160. (Equation 2)
And (B + C) / 2 = 88, which simplifies to Y + Z = 176. (Equation 3)
Subtracting Equation 3 from Equation 1, we get X = 250 - 176 = 74.
Substituting X = 74 into Equation 2, we get 74 + Y = 160.
Therefore, Y=160-74=<<160-74=86>>86.
Therefore, Bala's score is 86. Answer: \boxed{86}.
Let Y be Bala's score.
And let Z be Curt's score.
We know that X + Y + Z = 250. (Equation 1)
We also know that (X + Y) / 2 = 80, which simplifies to X + Y = 160. (Equation 2)
And (B + C) / 2 = 88, which simplifies to Y + Z = 176. (Equation 3)
Subtracting Equation 3 from Equation 1, we get X = 250 - 176 = 74.
Substituting X = 74 into Equation 2, we get 74 + Y = 160.
Therefore, Y=160-74=<<160-74=86>>86.
Therefore, Bala's score is 86. Answer: \boxed{86}.