Source: Magoosh
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
The OA is B
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 Brent@GMATPrepNow
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Gita is 12 years older than Harvey.BTGmoderatorLU wrote:Source: Magoosh
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
The OA is B
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
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 Scott@TargetTestPrep
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We can let g = Gita's age today and h = Harvey's age today and create the following equation:BTGmoderatorLU wrote:Source: Magoosh
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
The OA is B
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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