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Re: Maria had twice as many suits in the year 1995 as she did [#permalink]
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Gnpth wrote:
Maria had twice as many suits in the year 1995 as she did in the year 1990. How many suits did Maria have in the year 1990 ?

(1) Maria had twice as many suits in the year 2000 as she did in the year 1995.

(2) Maria had 2 more suits in the year 2000 than she did in the year 1995.


We can let the number of suits in 1990 = x, and the number of suits in 1995 = 2x.

We need to determine x.

Statement One Alone:

Maria had twice as many suits in the year 2000 as she did in the year 1995.

Thus the number of suits in 2000 = 4x; however, we cannot determine x. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

Maria had 2 more suits in the year 2000 than she did in the year 1995.

Thus the number of suits in 2000 = 2x + 2; however, we cannot determine x. Statement one alone is not sufficient to answer the question.

Statements One and Two Together:

Using the two statements together, we have:

4x = 2x + 2

2x = 2

x = 1

Answer: C
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Re: Maria had twice as many suits in the year 1995 as she did [#permalink]
Let S1990, S1995, and S2000 denote the number of suits Maria had in 1990, 1995, and 2000, respectively. We know from the question stem that S1995 = 2(S1990), and we need to solve for S1990. We will have sufficiency if we can determine the value of S1995

Statement (1): insufficient. This tells us that S2000 = 2(S1995), but without knowing the value of S2000, we can't solve for S1995. We don't have the information necessary to find S1990, so statement (1) is insufficient. Eliminate (A) and (D).

Statement (2): insufficient. This tells us that S2000 = 2 + S1995, but we can't solve for S1995, and thus we don't have sufficiency. Eliminate (B).

Statements (1) and (2): sufficient. Together, then statements give us two linear equations with two variables (S2000 and S1995), so we could solve for S1995, which will give us sufficiency. Choice (C) is correct.
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Re: Maria had twice as many suits in the year 1995 as she did [#permalink]
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