If r + s > 2t, is r > t ? (1) t > s (2) r > s : GMAT Data Sufficiency (DS)
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# If r + s > 2t, is r > t ? (1) t > s (2) r > s

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If r + s > 2t, is r > t ? (1) t > s (2) r > s [#permalink]

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04 Jan 2011, 21:07
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If r + s > 2t, is r > t ?

(1) t > s

(2) r > s
[Reveal] Spoiler: OA
Manager
Joined: 17 Dec 2010
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Re: Alphabet Digits Part I [#permalink]

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04 Jan 2011, 21:51
Here, you can manipulate inequalities.

From the givens, we know that:

r+s > 2t

therefore:
(1)
r+s > 2t
t > s

Inequalities with the same sign can be added / subtracted

=> r + s + t > 2t + s
=> r > t

SUFF

(2)
r + s > 2t
r > s

=> 2r + s > 2t + s
=> 2r > 2t
=> r > t

SUFF

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Re: Alphabet Digits Part I [#permalink]

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04 Jan 2011, 23:23
Wayxi wrote:
If r + s > 2t, is r > t ?

(1) t > s

(2) r > s

r + s > 2t

(1) t > s
So, r+t > r+s > 2t
So, r+t > 2t
So, r>t
Sufficient

(2) r > s
So, r+r > s+r > 2t
So, 2r > 2t
So, r > t
Sufficient

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Re: Alphabet Digits Part I   [#permalink] 04 Jan 2011, 23:23
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