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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as 15 Aug 2017, 23:46
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80% (01:16) correct 20% (01:27) wrong based on 317 sessions

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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as old as Harvey. How old will Harvey be in 3 years?

(A) 5

(B) 11

(C) 15

(D) 19

(E) 23
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B
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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as 15 Aug 2017, 23:48
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Bunuel
Gita is 12 years older than Harvey. In 4 years, Gita will be twice as old as Harvey. How old will Harvey be in 3 years?

(A) 5

(B) 11

(C) 15

(D) 19

(E) 23
Show more

Check other Age Problems in our Special Questions Directory.
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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as 16 Aug 2017, 00:04
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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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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as 16 Aug 2017, 00:25
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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)
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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as 26 May 2019, 14:25
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Bunuel
Gita is 12 years older than Harvey. In 4 years, Gita will be twice as old as Harvey. How old will Harvey be in 3 years?

(A) 5

(B) 11

(C) 15

(D) 19

(E) 23
Show more

Gita is 12 years older than Harvey.
Let x = Harvey's PRESENT age
Let x + 12 = Gita's PRESENT age

In 4 years, . . . .
x + 4 = Harvey's age IN FOUR YEARS
(x + 12) + 4 = Gita's age IN FOUR YEARS

. . . Gita will be twice as old as Harvey.
So: (Gita's age IN 4 YEARS) = 2(Harvey's age IN 4 YEARS)
In other words: (x + 12) + 4 = 2(x + 4)
Simplify: x + 16 = 2x + 8
Subtract x from both sides: 16 = x + 8
Subtract 8 from both sides: 8 = x

So, Harvey's PRESENT age is 8 years old

How old will Harvey be in 3 years?
Harvey will be 11 years old in 3 years.

Answer: B

Cheers,
Brent
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Gita is 12 years older than Harvey. In 4 years, Gita will be twice as 02 Jun 2025, 09:45
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