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# What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1

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Math Expert
Joined: 02 Sep 2009
Posts: 52231
What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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22 Nov 2018, 01:45
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:58) correct 32% (00:42) wrong based on 104 sessions

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What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

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What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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Updated on: 05 Jan 2019, 04:27
Bunuel wrote:
What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

Statement 1;

$$|x - y| = 0$$

x=y

or

x = y

substituting the value of x we get 0.

Statement 2:

$$|\frac{x}{y}| = 1$$

either ,

x/y = 1

x = y

or

-x/-y = 1

x = y

The same as 1.

Sufficient .

Originally posted by selim on 22 Nov 2018, 01:52.
Last edited by selim on 05 Jan 2019, 04:27, edited 2 times in total.
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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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22 Nov 2018, 01:53
Statement 1) when the difference of two numbers is 0 then both the numbers must be equal. so x = y.

|x| - |y| = 0. SUFFICIENT.

Statement 2) $$|\frac{x}{y}|$$ = 1.

Here |x| = |y|. So |x| - |y| = 0. SUFFICIENT.

OPTION : D
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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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22 Nov 2018, 01:55
Bunuel wrote:
What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

Stmnt 1 would be valid only when both x& y are same value and same sign
sufficient

Stmnt 2: would be valid for same reason as for 1

IMO D
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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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24 Dec 2018, 00:39
Bunuel wrote:
What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

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Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1 &nbs [#permalink] 24 Dec 2018, 00:39
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