What is the ratio $a:b$? Statement I: $a+b=30$. Statement II: $a-b=6$. Choose the standard data-sufficiency option.
Practice this question from Chapter Mock 16: Data Sufficiency, with options and an explanation.
Question
What is the ratio $a:b$?
Statement I: $a+b=30$.
Statement II: $a-b=6$.
Choose the standard data-sufficiency option.
Option A
A
Option B
B
Option C — Correct answer
C
Correct choice.
Option D
D
Option E
E
Explanation
Neither statement alone determines the ratio. Together they give $a=18$ and $b=12$, so the ratio is $3:2$. Hence the answer is C.