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

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Gita is 12 years older than Harvey. In 4 years, Gita will be [#permalink] New post 17 Oct 2017, 22:17
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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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Re: Gita is 12 years older than Harvey. In 4 years, Gita will be [#permalink] New post 18 Oct 2017, 05:13
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Defining Gita's age as G and Harvey's age as H, the information above can be translated into two equations

\(G = H+12\)
\(G+4 = 2(H+4)\)

Solving them, we get H = 8, thus in 3 years Harvey will be 8+3 = 11 years old. Answer B
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Re: Gita is 12 years older than Harvey. In 4 years, Gita will be [#permalink] New post 02 Jan 2018, 06:47
Expert's post
Bunuel wrote:
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


We can let g = Gita’s age today and h = Harvey’s age today and create the following equation:

g = h + 12

and

g + 4 = 2(h + 4)

g + 4 = 2h + 8

g = 2h + 4

Thus:

h + 12 = 2h + 4

8 = h

So, Harvey will be 11 in 3 years.

Answer: B
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Re: Gita is 12 years older than Harvey. In 4 years, Gita will be   [#permalink] 02 Jan 2018, 06:47
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Gita is 12 years older than Harvey. In 4 years, Gita will be

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