**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

OA B

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Let x = Harvey's PRESENT age

Let x + 12 = Gita's PRESENT age

x + 4 = Harvey's age IN FOUR YEARS

(x + 12) + 4 = Gita's age IN FOUR YEARS

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

Harvey will be 11 years old in 3 years.

Answer: B

Cheers,

Brent

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An alternate approach is to PLUG IN THE ANSWERS, which represent Harvey's age in 3 years.

When the correct answer is plugged in, Gina in 4 years will be twice as old as Harvey.

Since Gina is 12 years older than Harvey, Gina = 16+12 = 28.

Harvey in 4 years = 16+4 = 20

Gina in 4 years = 28+4 = 32

Since Gina in 4 years is not twice as old as Harvey, eliminate D.

Since Gina is 12 years older than Harvey, Gina = 8+12 = 20.

Harvey in 4 years = 8+4 = 12

Gina in 4 years = 20+4 = 24

Success!

Gina in 4 years is twice as old as Harvey.

The. correct answer is B.

Mitch Hunt

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