Question
. The highest score on an Algebra test was 42 points more than the lowest. When add together, the lowest and highest score was 154. Find both the highest and lowest score
Answers
GPT 3.5
Let's assume that the lowest score is x.
According to the problem, the highest score is 42 points more than the lowest score, so it is x + 42.
We also know that the sum of the lowest and highest score is 154, which can be written as: x + (x + 42) = 154.
Simplifying the equation, we get: 2x + 42 = 154.
Subtracting 42 from both sides, we have: 2x = 112.
Dividing both sides by 2, we find: x = 56.
Therefore, the lowest score is 56, and the highest score is 56 + 42 = 98. Answer: \boxed{56, 98}.
According to the problem, the highest score is 42 points more than the lowest score, so it is x + 42.
We also know that the sum of the lowest and highest score is 154, which can be written as: x + (x + 42) = 154.
Simplifying the equation, we get: 2x + 42 = 154.
Subtracting 42 from both sides, we have: 2x = 112.
Dividing both sides by 2, we find: x = 56.
Therefore, the lowest score is 56, and the highest score is 56 + 42 = 98. Answer: \boxed{56, 98}.
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