(DS Problem)
What is the number of female employees in Company X ?
(1) If Company X were to hire 14 more people and all of these people were females, the ratio of the number of male employees to the number of female employees would then be 16 to 9.
(2) Company X has 105 more male employees than female employees.
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH Statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.
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Hello all,
I can solve this problem, however it takes me a long time, almost 4 minutes.
There must be something I'm missing?
STEP 1:-
Simplify the question.
X = M + F
what is F?
STEP 2:-
Analyse statement (1)
X+14 = M+F+14
M/F+14 = 16/9
(EQ1) M9 = 16F + 224
Insufficient
STEP 3:-
Analyse statement (2)
(EQ2) M= F + 105
X = F + F + 105
X = 2F + 105
Insufficient
STEP 4:-
Analyse statement (1) & (2)
Substitute (EQ2) into (EQ1)
9(F+105) = 16F + 224
(At this point, I know the answer is (C), and perhaps this is where I've lost time, since I continue to solve)
9F + 945 = 16F + 224
721 = 7F
F = 103
Sufficient