Explanation
We've got a fine jumble of variables and subscripts in
this question. We can find
by finding
each variable individually or by learning the value of the expression directly,
perhaps through fortuitous algebra. We'll evaluate the data statements
separately first, as always.
Statement (1) might have potential for fortuitous algebra,
although there are other variables we probably won't be able to get rid of. To
attempt to isolate
, we can do
On the left side,
and
are
both multiplied by the same thing, our expression of interest,
. Factoring out that expression gives us
Without knowing what the other term is, we won't be able
to determine
. We can confirm by seeing different cases: the
terms could equal 2 and 2, or 4 and 1. But we have a sneaky feeling this work
is going to come handy. First, however, this statement is insufficient.
Statement (2) gives us the wrong expression. We want
and it gives
us the version with the subscripts flipped. So Statement (2) is insufficient.
Combining the statements, we can take our result from
Statement (1) and substitute in the expression from Statement (2), yielding
Therefore,
. We have answered the question definitively, so the
statements are sufficient together.
The correct answer is (C).
If you believe you have found an error in this question or explanation, please contact us and include the question title or URL in your message.