Explanation
The question is simple enough, though we should not ignore
that the y and z are integers. We can get sufficiency by solving for y and z individually or as the expression
. Let's turn to the data statements, separately
first.
Statement (1) narrows the sum y + z to the range
between 6 and 8. For example, y + z could be 7. Indeed, y + z
must be 7, since it must be an integer, as the sum of integers. And while
there are different possible values of y and
z that could sum to 7, the all lead
to the same answer to the question being asked of us. Therefore, we have
sufficient information to answer the question definitively. Statement (1) is
sufficient.
Statement (2) tells us that
. For example, y
could be 3 and z could be 4. Indeed,
this is the only possibility, since both numbers are integers. Therefore y + z
is uniquely determined, and we can answer the question definitively.
Statement (2) is sufficient.
The correct answer is (D).
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