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Re: QOTD # 2 If (1/2)*x years ago Adam was 12, and (1/2)*x [#permalink]
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harigrestudent97 wrote:
Carcass wrote:
If \(\frac{1}{2}\)x years ago Adam was 12, and \(\frac{1}{2}\)x years from now he will be 2x years old, how old will he be 3x years from now?


A 54
B 18
C 24
D 30
E It cannot be determined from the given information.



0.5x years ago Adam was 12
So, 12 + 0.5x = Adam's PRESENT age

So, 0.5x years from now, Adam's age will be (12 + 0.5x) + 0.5x years old
Simplify: 12 + x = Adam's age 0.5x YEARS FROM NOW


0.5x years from now, Adam will be 2x years old
We can write: 12 + x = 2x
Solve, to get: x = 12

12 + 0.5x = Adam's PRESENT age
So, Adams age 3x YEARS FROM NOW = (12 + 0.5x) + 3x

Now that we know x = 12, replace x with 12 to get: Adams age 3x YEARS FROM NOW = 12 + 0.5(12) + 3(12)
= 12 + 6 + 36
= 54

Answer: A

Cheers,
Brent
Prep Club for GRE Bot
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