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The ratio of R to S is 3 to 5, what is the value of the ratio (R + K)/(S + K)?

I. R = 12

II. K = 7

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Option C is the correct answer.

R:S = 3:5.

Statement I is insufficient: R = 12 –> S = 20. We need K. Not sufficient.

Statement II is insufficient: K = 7 –> (R + K)/(S + K) = (R + 7)/(5R/3 + 7).

The ratio will change depending on R. Not sufficient.

Together I and II,

We know the values of all variables, thus we can get the desired ratio. Sufficient.

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