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Re: QOTD # 2 If (1/2)*x years ago Adam was 12, and (1/2)*x

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harigrestudent97
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Re: QOTD # 2 If (1/2)*x years ago Adam was 12, and (1/2)*x [#permalink] New post   12 Mar 2017, 20:56
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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.

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Re: QOTD # 2 If (1/2)*x years ago Adam was 12, and (1/2)*x [#permalink] New post   13 Mar 2017, 01:51
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Hi,

I didnt get why you repost the entire question above instead to reply to the same what is or not clear to you ??
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Re: QOTD # 2 If (1/2)*x years ago Adam was 12, and (1/2)*x [#permalink] New post   14 Mar 2017, 15:27
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Let Adams current age be \(y\).

If \(\frac{1}{2}x\) years ago Adam was 12:

\(y -\frac{1}{2}x = 12\)

and \(\frac{1}{2}x\) years from now he will be 2x years old

\(y+ \frac{1}{2}x = 2x\)


Solve for \(x\) and \(y\)

x = 12 y= 18

how old will he be 3x years from now?

\(y + 3x = 18 + 3*12 = 54\)

Hence A is correct answer.
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Re: QOTD # 2 If (1/2)*x years ago Adam was 12, and (1/2)*x [#permalink] New post   27 Jun 2019, 11:44
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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

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Brent
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Re: QOTD # 2 If (1/2)*x years ago Adam was 12, and (1/2)*x [#permalink]
27 Jun 2019, 11:44
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