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If Patty is five years older than Rod, how old is Rod?

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VP
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V
Status: Preparing for the GMAT
Joined: 02 Nov 2016
Posts: 1341
Location: Pakistan
GPA: 3.4
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If Patty is five years older than Rod, how old is Rod? [#permalink]

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New post 22 Dec 2017, 13:16
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

92% (00:19) correct 8% (00:00) wrong based on 13 sessions

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If Patty is five years older than Rod, how old is Rod?

(1) Fifteen years ago, Patty was twice as old as Rod.
(2) Five years ago, the sum of Patty's age and Rod's age was 35.
[Reveal] Spoiler: OA

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Re: If Patty is five years older than Rod, how old is Rod? [#permalink]

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New post 22 Dec 2017, 18:12
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Given: P= R+5

(1) (P-15)= 2(R-15)
P-15= 2R-30
2R= P+15
2R= R+5+15 (Put P= R+5)
R= 20 [Suff]

(2) (P-5)+(R-5)= 35
P+R-10= 35
P+R= 45
2R+5= 45 (Put P= R+5)
2R= 40; R= 20 [Suff]

Answer: D.
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Re: If Patty is five years older than Rod, how old is Rod?   [#permalink] 22 Dec 2017, 18:12
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If Patty is five years older than Rod, how old is Rod?

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