What is the Sum of a, b, and c?

Question: What is the sum of a, b, and c?

1. a : b : c = 3 : 4 : 7
2. c – a = 12

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.

“What is the sum of a, b, and c?” is the topic of GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Prep Plus 2021”. 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 comprise 15 questions which are two-fifths of the total 31 GMAT quant questions.

Answer:

From the statement (1), we have:

a : b : c = 3x : 4x : 7x

This means a = 3x, b = 4x, and c = 7x

Now, from statement (2), we have:

c – a = 12

put the values of c and a from statement (1), we will get:

7x – 3x = 12

4x = 12

x = 3

So, the values of a, b, and c are:

a = 3x = 9

b = 4x = 12

c = 7x = 21

Correct Answer: B

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