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How old is Jane? (1) Ten years ago she was one-third as old as she is

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How old is Jane? (1) Ten years ago she was one-third as old as she is  [#permalink]

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New post 26 Apr 2019, 07:21
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Question Stats:

80% (00:47) correct 20% (01:02) wrong based on 84 sessions

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Re: How old is Jane? (1) Ten years ago she was one-third as old as she is  [#permalink]

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New post 26 Apr 2019, 08:14
1
Let Jane's present age be J
1. 10yrs ago,
J-10=J/3
J=15
Sufficient.

2. 15yrs hence
J+15=2J
J=15

Sufficient.

IMO D
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Re: How old is Jane? (1) Ten years ago she was one-third as old as she is  [#permalink]

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New post 26 Apr 2019, 13:06
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Bunuel wrote:
How old is Jane?

(1) Ten years ago she was one-third as old as she is now.
(2) In 15 years, she will be twice as old as she is now.


Target question: How old is Jane?

Statement 1: Ten years ago she was one-third as old as she is now.
Let x = Jane's PRESENT age
So, x - 10 = Jane's age TEN YEARS AGO

We can write: x - 10 = x/3
Multiply both sides by 3 to get: 3x - 30 = x
Subtract 3x from both sides: -30 = -2x
Solve: x = 15
The answer to the target question is Jane is 15 years old
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: In 15 years, she will be twice as old as she is now
Let x = Jane's PRESENT age
So, x + 15 = Jane's age FIFTEEN YEARS FROM NOW

We can write: 2x = x + 15
Subtract x from both sides: x = 15
The answer to the target question is Jane is 15 years old
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

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Re: How old is Jane? (1) Ten years ago she was one-third as old as she is  [#permalink]

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New post 23 May 2019, 07:34

Solution


Steps 1 & 2: Understand Question and Draw Inferences
We need to find the age of Jane.
    • Let us assume that the present age of Jane is x years.
    Hence, we need to find the value of x.

As we do not have any relevant information to infer from, let us now analyse the individual statements.

Step 3: Analyse Statement 1
“Ten years ago, she was one-third as old as she is now.”
    • Age of Jane ten years ago = (Present age of Jane)/3
    • Ten years ago, the age of Jane was = x – 10 years.

Hence, x – 10 = x/3
    3x – 30 = x

From this equation, we can easily find the value of x.

Thus, statement 1 is sufficient to answer the question.

Step 4: Analyse Statement 2
“In 15 years, she will be twice as old as she is now.”
    • Age of Jane 15 years after Now = 2 × Present age of Jane
    • After 15 years, age of Jane will be = x + 15
    x + 15 = 2x

From this equation, we can easily find the value of x.

Thus, statement 2 is sufficient to answer the question.

Step 5: Combine Both Statements Together (If Needed)
Since we could determine the answer from either of the statements individually, this step is not required.

Hence, the correct answer is option D.

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Re: How old is Jane? (1) Ten years ago she was one-third as old as she is  [#permalink]

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New post 23 May 2019, 18:43
Bunuel wrote:
How old is Jane?

(1) Ten years ago she was one-third as old as she is now.
(2) In 15 years, she will be twice as old as she is now.



DS89502.01
Quantitative Review 2020 NEW QUESTION

Either statement is independently sufficient. D

(1) j-10 = (1/3)*j

(2) j+15 = (2)*j
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Re: How old is Jane? (1) Ten years ago she was one-third as old as she is   [#permalink] 23 May 2019, 18:43
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