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DS - GMATPrep (what is the value of x + y + z)

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Director
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DS - GMATPrep (what is the value of x + y + z) [#permalink] New post 27 Apr 2007, 01:02
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Well, it seems obvious but I don't understand the answer :?
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SVP
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 [#permalink] New post 27 Apr 2007, 01:19
For me (A) :)

x > 1, y > 1 and z > 1

x + y + z = ?

From1
x*y*z = 70 = 7 * 5 * 2

Then, we are sure that x + y + z = 7 + 5 + 2 = 14.

SUFF.

From2
x/(y*z) = 7/10 (=7/(5*2)) = 14 / 20 (=(14)/(5*4))

Then, we could have :
o x + y + z = 7 + 5 + 2 = 14
o x + y + z = 14 + 5 + 4 = 23

INSUFF.
Director
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 [#permalink] New post 27 Apr 2007, 02:28
Fig wrote:
For me (A) :)

x > 1, y > 1 and z > 1

x + y + z = ?

From1
x*y*z = 70 = 7 * 5 * 2

Then, we are sure that x + y + z = 7 + 5 + 2 = 14.

SUFF.

From2
x/(y*z) = 7/10 (=7/(5*2)) = 14 / 20 (=(14)/(5*4))

Then, we could have :
o x + y + z = 7 + 5 + 2 = 14
o x + y + z = 14 + 5 + 4 = 23

INSUFF.


Oh, now I see it's a fraction problem... Thanks a ton, Fig! :P
SVP
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 [#permalink] New post 27 Apr 2007, 03:05
U are welcome :)
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 [#permalink] New post 28 Apr 2007, 07:00
it's A

St 1) x*y*z = 70 -> 2*5*7 = 70 (factorize 70 and you will see that the only prime factors are 2,5,7; 1 is out since x,y,z are >1) --> Suff

St2) x = (7/10) y*z; if 'x' is an integer (info from q-stem) then y*z must be multiple of 10 (e.g. y*z = 10, 20, 30, etc...) and we get too many options that satisfy this condition--> Insuff
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 [#permalink] New post 28 Apr 2007, 11:42
Same answer as others: A

(1) Factors of 70 = 7 x 5 x 2 (Sufficient)

(2) Insufficient, as this will be true for many sets. For example. multiply x's and y's values by 2, and you still get the same fraction
  [#permalink] 28 Apr 2007, 11:42
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