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Re: x < y [#permalink]
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OE

Quote:
Since x < y, the average of x and y is less than y, so having another y raises the average. Quantity B is greater. ** Plug in the numbers: say x = 2 and y = 4. Quantity A: the average of 2 and 4 is 3. Quantity B: the average of 2, 4, and 4 is 10 + 3 = 3.333, which is more than 3; the second 4 raised the average.


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Re: x < y [#permalink]
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Re: x < y [#permalink]
Now it's clear! Thank you to both of you!
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Re: x < y [#permalink]
Hey guys, I don't get how is B either. If you plug in negative values, A becomes larger. Please explain.
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Re: x < y [#permalink]
ezinne5189@gmail.com wrote:
Hey guys, I don't get how is B either. If you plug in negative values, A becomes larger. Please explain.


x < y

Quantity A
Quantity B
The average (arithmetic mean) of x and y
The average (arithmetic mean) of x, y and y


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


SOLUTION:

The average (arithmetic mean) of x and y is (x + y)/2

The average (arithmetic mean) of x, y and is (x + y + y)/3

(x + y)/2 ? (x + y + y)/3

3x + 3y ? 2x + 4y

x ? y

Since we are given in the stem that x < y, then ? is < sign, which means that Quantity B is greater.

Answer: B.

Hope it's clear.
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Re: x < y [#permalink]
No matter what value one puts the answer will always be B
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Re: The average (arithmetic mean) of x and y [#permalink]
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