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Math Expert V
Joined: 02 Sep 2009
Posts: 64216
What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 72% (01:21) correct 28% (01:13) wrong based on 171 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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Joined: 31 Oct 2013
Posts: 1489
Concentration: Accounting, Finance
GPA: 3.68
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What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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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 KSBGC on 22 Nov 2018, 01:52.
Last edited by KSBGC on 05 Jan 2019, 04:27, edited 2 times in total.
Current Student P
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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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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
GMAT Club Legend  V
Joined: 18 Aug 2017
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Location: India
Concentration: Sustainability, Marketing
GPA: 4
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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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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
Math Expert V
Joined: 02 Sep 2009
Posts: 64216
Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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Bunuel wrote:
What is the value of $$|x| - |y|$$ ?

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

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

_________________
Intern  B
Joined: 08 Dec 2018
Posts: 11
Location: India
Schools: ISB '20, IIMA PGPX"20
Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

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KSBGC wrote:
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 .

Statement 2 : If x=-2 and y=2
then |x|/|y| => |-2|/|2| =>1 but in this case both x and y are having different signs, so how this is marked as sufficient. It is not necessary that both should be having same signs. Please explain what's wrong in my approach. Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1   [#permalink] 07 May 2019, 10:08

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