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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as

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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as [#permalink]

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New post 15 Aug 2017, 23:46
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (00:43) correct 16% (00:25) wrong based on 57 sessions

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Expert Post
Math Expert
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Posts: 46316
Re: Gita is 12 years older than Harvey. In 4 years, Gita will be twice as [#permalink]

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New post 15 Aug 2017, 23:48
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Re: Gita is 12 years older than Harvey. In 4 years, Gita will be twice as [#permalink]

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New post 16 Aug 2017, 00:04
Lets use options. Question is asking age of Harvey in 3 years.
Option A : 5
so present age of H is 2 (5-3).
Present age of Gita = 2+12 = 14.
In four years H = 2+4 = 6
In four years G = 14+4=18
18 is not twice of 6. So option A is wrong

Option B : 11
so present age of H is (11-3) =8
Present age of Gita = 8+12 = 20.
In four years H = 8+4 = 12
In four years G = 20+4=24
24 is twice of 12. So option B is correct.
QED
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Re: Gita is 12 years older than Harvey. In 4 years, Gita will be twice as [#permalink]

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New post 16 Aug 2017, 00:25
We know that :
G = H + 12 ---------------------------(From Statement 1)
G + 4 = 2 * (H + 4) = (2H + 8)------(From Statement 2)

We need to find (H + 3) :
Replacing value of G in 2, we get
2H + 3 + 5 = (H + 12) + 4
or (H + 3) = 16 - 5 = 11 --- Option (B)
Re: Gita is 12 years older than Harvey. In 4 years, Gita will be twice as   [#permalink] 16 Aug 2017, 00:25
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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as

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