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31 Jan 2016, 08:06
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (01:26) correct
16%
(01:56)
wrong
based on 154
sessions
History
Date
Time
Result
Not Attempted Yet
The denominator of a fraction is 5 greater than the numerator. If the numerator and the denominator are increased by 2, the resulting fraction is equal to 7⁄12. What is the value of the original fraction?
A. 5⁄12
B. 1⁄2
C. 9⁄14
D. 2⁄3
E. 12⁄17
A. 5⁄12
B. 1⁄2
C. 9⁄14
D. 2⁄3
E. 12⁄17
31 Jan 2016, 12:55
Kudos
Bookmarks
Let the original fraction be x/(x+5)
If the numerator and the denominator are increased by 2, the resulting fraction is equal to 7⁄12.
(x+2)/(x+7) = 7/12
=> 12x + 24 = 7x + 49
=> 5x = 25
=> x =5
Original fraction = 5/10 = 1/2
Answer B
If the numerator and the denominator are increased by 2, the resulting fraction is equal to 7⁄12.
(x+2)/(x+7) = 7/12
=> 12x + 24 = 7x + 49
=> 5x = 25
=> x =5
Original fraction = 5/10 = 1/2
Answer B
02 Feb 2016, 23:42
Kudos
Bookmarks
Hi All,
This math behind this question can be dealt with in a couple of ways. Depending on how the answer choices appear, the actual amount of work involved can be quite minimal though.
We're told that the denominator of a fraction is 5 greater than the numerator and that when the numerator AND the denominator are increased by 2, the resulting fraction is equal to 7⁄12. We're asked for the value of the original fraction.
Let's work backwards from the last piece of information: increasing the numerator and denominator by 2 gives us a fraction that equals 7/12. Since that fraction MIGHT be reduced, we could end up having to 'check' several iterations (7/12, 14/24, 21/36, etc.)
If we start with 7/12 and SUBTRACT 2 from both the numerator and the denominator, we end up with (7-2)/(12-2) = 5/10 = 1/2. Since that answer appears among the 5 choices, we're done.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This math behind this question can be dealt with in a couple of ways. Depending on how the answer choices appear, the actual amount of work involved can be quite minimal though.
We're told that the denominator of a fraction is 5 greater than the numerator and that when the numerator AND the denominator are increased by 2, the resulting fraction is equal to 7⁄12. We're asked for the value of the original fraction.
Let's work backwards from the last piece of information: increasing the numerator and denominator by 2 gives us a fraction that equals 7/12. Since that fraction MIGHT be reduced, we could end up having to 'check' several iterations (7/12, 14/24, 21/36, etc.)
If we start with 7/12 and SUBTRACT 2 from both the numerator and the denominator, we end up with (7-2)/(12-2) = 5/10 = 1/2. Since that answer appears among the 5 choices, we're done.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
