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

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Senior RC Moderator
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2251
Location: Pakistan
GPA: 3.39
If Patty is five years older than Rod, how old is Rod?  [#permalink]

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22 Dec 2017, 13:16
00:00

Difficulty:

25% (medium)

Question Stats:

89% (01:01) correct 11% (00:23) wrong based on 17 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.

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

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22 Dec 2017, 18:12
2
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]

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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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