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If x - 1/3^7 - 1/3^8 - 1/3^9 = 1/3^9, then x = 2/3^4 2/3^5

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Senior Manager
Senior Manager
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Joined: 05 Oct 2008
Posts: 273
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Kudos [?]: 50 [0], given: 22

If x - 1/3^7 - 1/3^8 - 1/3^9 = 1/3^9, then x = 2/3^4 2/3^5 [#permalink] New post 08 Nov 2008, 22:21
If x - 1/3^7 - 1/3^8 - 1/3^9 = 1/3^9, then x =

2/3^4
2/3^5
1/3^5
1/3^7
2/3^10

If I solve this problem through the longer route I get
x = 9+18+6+2/3^7 = 35/3^7

Can anyone help me to pick my mistake?

Last edited by study on 09 Nov 2008, 08:40, edited 1 time in total.
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Joined: 28 Dec 2004
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Location: New York City
Schools: Wharton'11 HBS'12
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Re: Fractions Simple [#permalink] New post 08 Nov 2008, 23:10
hmm

i get x=2/3^9 + 3/3^9+9/3^9=14/3^9

i am missing a trick..
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Re: Fractions Tough [#permalink] New post 09 Nov 2008, 10:45
study, can you plz check if there is a typo in the question? In the current form, even I got 14/3^9.

If the question is asking for an approx x, then it could be 1/3^7.
Re: Fractions Tough   [#permalink] 09 Nov 2008, 10:45
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If x - 1/3^7 - 1/3^8 - 1/3^9 = 1/3^9, then x = 2/3^4 2/3^5

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