Explanation
We can understand the question to state that children in
Group A are all a years old, and
children in Group B are all b years
old, and we want to know whether
. On to the statements, separately first.
Statement (1) tells us that
. Subtracting 2a
and 2b from both sides of this
inequality yields
, which is close to what we are looking for, but different. Statement (1) would allow a case in which b was huge and therefore
, and it would allow a case in which a was actually greater than b but less than 2b. So we don't have a consistent answer for all cases. Statement
(1) is insufficient.
Statement (2) is similar but has the potential to work out
differently. It says that
. Subtracting 3a
and 3b from both sides gives
, exactly what we are looking for. So Statement (2)
gives a fact that makes the answer to the question "yes" in every case; it's
therefore sufficient.
The correct answer is (B).
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