Sue is now 15 years younger than Jane. How old is Sue in 2000?

Question

(1) Jane is 4 times as old as Sue in 1995.

(2) Jane is 2 times as old as Sue in 2005.

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cdrectenwald · Answer

Do we assume that Sue is 15 years older than Jane in 2000? If so, both statements are sufficient, D

Tishaagarwal13 · Answer

The correct answer is D

Given, Sue is 15 years younger than Jane
So, S = J - 15 —-> (1)

Question: How old is Sue in the year 2000?

Statement 1:
Jane is 4 times as old as Sue in 1995

J = 4S (in 1995)
So, in 2000, both Jane and Sue will be 4 years older I.e., J+4 = 4S + 4
We can solve both equations (1) and the above one - Sufficient

Statement 2:
Jane is 2 times as old as Sue in 2005

J = 2S (in 2005)
In 2000, both J and S will be 5 years younger,
I.e., J - 5 = 2S - 5

We can solve both equations (1) and the above one - Sufficient

Whoisdmx15 · Answer

Given Sue (S) = Jane (J) -15
How old is Sue in 2000?

(1) Jane is 4 times as old as Sue in 1995.
In 1995
J=4*S
J=4*(J-15)
J=20 S=5
Hence S = 10 in 2000 (5 years later)

(2) Jane is 2 times as old as Sue in 2005.
In 2005
J=2*S
J=2*(J-15)
J=30
S=30-15 = 15
Hence S= 10 in 2000 (5 Years prior).

IMO Ans D

bhargavhhhhhhhh · Answer

Question Breakdown:
- Sue is 15 years younger than Jane.
- We need to find Sue’s age in 2000.
- Use the two statements to determine Sue's age in 2000.

Let:
- Sue's age in 2000 = S
- Jane's age in 2000 = J
- According to the question: J = S + 15 (because Sue is 15 years younger than Jane)

Statement 1: Jane is 4 times as old as Sue in 1995.
- In 1995, Jane's age = J - 5 (because 2000 - 1995 = 5 years ago)
- In 1995, Sue's age = S - 5
- From the statement: J - 5 = 4(S - 5)
- Substituting J = S + 15 into this: (S + 15) - 5 = 4(S - 5)
- Simplifying: S + 10 = 4(S - 5)
- S + 10 = 4S - 20
- Solving: 30 = 3S, so S = 10
- Therefore, Sue is 10 years old in 2000.
- Statement 1 is sufficient to determine Sue's age.

Statement 2: Jane is 2 times as old as Sue in 2005.
- In 2005, Jane's age = J + 5 (because 2005 - 2000 = 5 years later)
- In 2005, Sue's age = S + 5
- From the statement: J + 5 = 2(S + 5)
- Substituting J = S + 15 into this: (S + 15) + 5 = 2(S + 5)
- Simplifying: S + 20 = 2(S + 5)
- S + 20 = 2S + 10
- Solving: 10 = S, so S = 10
- Therefore, Sue is 10 years old in 2000.
- Statement 2 is also sufficient to determine Sue's age.

Conclusion:
Both statements are individually sufficient to determine Sue’s age in 2000. Therefore, the answer is:
D. Each statement alone is sufficient.

pi31415926 · Answer

given the statement it doesn't need to be the case that she is 15 years older in 2000...... of course it can likely be assumed but at this point i am not sure anymore when to look for traps...

Sue is now 15 years younger than Jane. How old is Sue in 2000?

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GMAT Data Sufficiency (DS) Questions

Sue is now 15 years younger than Jane. How old is Sue in 2000?

Prep Toolkit

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