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x and y are both positive integers.

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Carcass
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x and y are both positive integers. [#permalink] New post   22 Jul 2019, 09:08
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x and y are both positive integers.

Quantity A
Quantity B
\(|x+y|\)
\(|x| - |y|\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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GreenlightTestPrep
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Re: x and y are both positive integers. [#permalink] New post   23 Jul 2019, 06:26
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Carcass wrote:
x and y are both positive integers.

Quantity A
Quantity B
\(|x+y|\)
\(|x| - |y|\)


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


If x and y are both positive integers, then \(|x+y|=x+y\), \(|x|=x\), and \(|y|=y\)

For example, \(|2+3|=5\), \(|6|=6\), and \(|11|=11\)

So, we get:
Quantity A: x + y
Quantity B: x - y

Subtract x from both quantities to get:
Quantity A: y
Quantity B: -y

Add y to both quantities to get:
Quantity A: 2y
Quantity B: 0

Since y is POSITIVE, we know that 2y is also POSITIVE
So, \(2y>0\)

Answer: A

Cheers,
Brent
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Re: x and y are both positive integers. [#permalink] New post   13 Apr 2024, 09:22
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Re: x and y are both positive integers. [#permalink]
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