Is the average (arithmetic mean) of x and y greater than 20?1. The average (arithmetic mean) of 2x and 2y is 48.2. x = 3y
Question
Is the average (arithmetic mean) of x and y greater than 20?
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The average (arithmetic mean) of 2x and 2y is 48.
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x = 3y
Solution
To answer the question "Is the average (arithmetic mean) of x and y greater than 20?", we can use the two statements provided.
Statement 1: The average (arithmetic mean) of 2x and 2y is 48. This means that (2x + 2y) / 2 = 48, which simplifies to x + y = 48. The average of x and y would then be 48 / 2 = 24, which is greater than 20. So, statement 1 alone is sufficient to answer the question.
Statement 2: x = 3y Without knowing the actual values of x and y, we cannot determine if their average is greater than 20. So, statement 2 alone is not sufficient to answer the question.
Therefore, the answer to the question "Is the average (arithmetic mean) of x and y greater than 20?" is yes, based on statement 1 alone.
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