Question: What is Paul’s now?

1. Paul is now twice as old as he was 12 years ago
2. Paul’s brother Rob is now two times as old as Paul was exactly 12 years ago

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.

Answer:
Solution with Explanation:
Approach Solution (1):

S1:
Paul is now twice as old as he was 12 years ago
Let us suppose the age of Paul 12 years ago was x
The present age of Paul = x + 12
As per the given conditions, x + 12 = 2x
Or
x = 12
Hence, the present age = 12 + 12 = 24
Sufficient

S2:
Paul’s brother Rob is now two times as old Paul was exactly 12 years ago
Rob age, y = 2 (x) where x is the Paul age 12 years ago
Clearly, it is not sufficient to conclude anything

Correct Option: A

Approach Solution (2):

(1) According to statement 1:
Age of Paul (12 years ago) = x
Present age = x + 12
Therefore, x + 12 = 2x
x = 12
Present age becomes = 12 + 12 = 24
Sufficient

(2) According to statement 2:
Paul’s brother Rob is now two times as old Paul was exactly 12 years ago
Age of Paul = x
Age of Rob = 2x
It is obvious that it is insufficient to draw any conclusions
Not sufficient

Correct Option: A

Approach Solution (3):

1. 12 years ago, age of Paul = x

Present age of Paul = x + 12
x + 12 = 2x
x = 12
Hence, Present age = x + 12 = 12 + 12 = 24
Hence sufficient

2. Nothing can be concluded from the statement 2

Hence not sufficient

Correct Option: A

“What is Paul’s now?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

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