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
Kudos for correct solution.
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