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# equation

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Intern
Joined: 26 Jan 2013
Posts: 13

Kudos [?]: [0], given: 51

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17 Apr 2013, 21:16
If a/x + b/y = a/2 + b/3 , then what is the value of x and y?

Dear GMATTERs, I know that the question above is not at all gmat type, but i cant find the values of x and y mathematically, though it is clearly seen that x and y equal 2 and 3 alternately.

Kudos [?]: [0], given: 51

VP
Joined: 02 Jul 2012
Posts: 1216

Kudos [?]: 1691 [2], given: 116

Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)

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17 Apr 2013, 21:44
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I think the term you should use is "the question clearly forms an illusion that x and y are 2 and 3 respectively".
If a = b, then x can be 3 and y can be 2.
If a = 2b, then x and y can be 6 and 1 or in fact can take several values
If a = b = 0, then x and y can be any number other than 0 and the equation would still hold true.

The reason that this cannot be mathematically solved is because it is NOT clearly seen from the equation that x and y are 2 and 3.
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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
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19 Apr 2013, 08:45
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Expert's post
If a/x + b/y = a/2 + b/3 , then what is the value of x and y?

Dear GMATTERs, I know that the question above is not at all gmat type, but i cant find the values of x and y mathematically, though it is clearly seen that x and y equal 2 and 3 alternately.

Let me add one more thing here:

If you are a little confused about the question, put some values to figure out. Often, using some examples, things will become very clear.

Say if a = 2 and b = 3,

2/x + 3/y = 2

Now is there any confusion whether you can find the values of x and y?
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Karishma
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Kudos [?]: 17814 [1], given: 235

Intern
Joined: 26 Jan 2013
Posts: 13

Kudos [?]: [0], given: 51

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19 Apr 2013, 11:25
Now I got it! thanks to MacFauz and Karishma.

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Re: equation   [#permalink] 19 Apr 2013, 11:25
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