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manalq8
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19 Nov 2011, 12:24
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B
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If 3x – 3y = 12z, what is the value of x?
(1) 4z = 2 + y
(2) 4z = 6 – y
can please someone explain this for me?
(1) 4z = 2 + y
(2) 4z = 6 – y
can please someone explain this for me?
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19 Nov 2011, 12:32
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Using statement (1), we get an equation in x and y, which is insufficient to calculate the value of x without knowing the value of y.
Using statement (2), if 4z = 6 -y => 12z = 18 - 3y
Putting this value of z in the given equation, we get 3x - 3y = 12z = 18-3y
=> x = 18/3 = 6. Sufficient.
(B) it is.
Using statement (2), if 4z = 6 -y => 12z = 18 - 3y
Putting this value of z in the given equation, we get 3x - 3y = 12z = 18-3y
=> x = 18/3 = 6. Sufficient.
(B) it is.
19 Nov 2011, 15:17
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It is B. Also, it is even easier if you simplify what is given.
3x - 3y = 12z (divide all by 3) and you have: x - y = 4z.
Notice that both answer choices give you 4z = something. And you already have 4z given from above.
1) 4z = 2 + y. And from question stem x - y = 4z.
Thus, 2+y = x - y or x = 2 + 2y. Therefore, we cannot solve for x, since we don't know what y.
Insufficient.
2) 4z = 6 -y. Again equate this with the value of 4z from the question stem:
6 - y = x - y (add +y to both sides and x is simply 6).
hence 2 alone is Sufficient. Answer is B.
3x - 3y = 12z (divide all by 3) and you have: x - y = 4z.
Notice that both answer choices give you 4z = something. And you already have 4z given from above.
1) 4z = 2 + y. And from question stem x - y = 4z.
Thus, 2+y = x - y or x = 2 + 2y. Therefore, we cannot solve for x, since we don't know what y.
Insufficient.
2) 4z = 6 -y. Again equate this with the value of 4z from the question stem:
6 - y = x - y (add +y to both sides and x is simply 6).
hence 2 alone is Sufficient. Answer is B.
