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24 Nov 2015, 10:46
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Difficulty:
15%
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Question Stats:
82% (01:38) correct
18%
(01:46)
wrong
based on 391
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History
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Not Attempted Yet
Virginia, Adrienne, and Dennis have taught history for a combined total of 96 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught?
(A) 23
(B) 32
(C) 35
(D) 41
(E) 44
PS21154
(A) 23
(B) 32
(C) 35
(D) 41
(E) 44
PS21154
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24 Nov 2015, 11:04
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Let number of years taught by Virginia = V
number of years taught by Adrienne = A
number of years taught by Dennis = D
V+A+D = 96
V= A+9
=>A = V-9
V= D-9
=> A = (D-9)-9 = D-18
D-9 + D-18 + D = 96
=> 3D = 96 + 27 = 123
=> D = 41
Answer D
number of years taught by Adrienne = A
number of years taught by Dennis = D
V+A+D = 96
V= A+9
=>A = V-9
V= D-9
=> A = (D-9)-9 = D-18
D-9 + D-18 + D = 96
=> 3D = 96 + 27 = 123
=> D = 41
Answer D
25 Nov 2015, 00:36
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HI All,
This question can be solved by TESTing THE ANSWERS. From the prompt, we know that the three people have taught for a total of 96 years and that Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis. So Dennis taught the HIGHEST number of years (meaning that he had to have taught MORE than 96/3 = 32 years). Looking at the Answers, let's start with D....
Answer D: 41 years
IF....
Dennis = 41 years taught
Virginia = 41 - 9 = 32 years taught
Adrienne = 32 - 9 = 23 years taught
41 + 32 + 23 = 96 years taught
This is an exact match for what the prompt told us, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing THE ANSWERS. From the prompt, we know that the three people have taught for a total of 96 years and that Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis. So Dennis taught the HIGHEST number of years (meaning that he had to have taught MORE than 96/3 = 32 years). Looking at the Answers, let's start with D....
Answer D: 41 years
IF....
Dennis = 41 years taught
Virginia = 41 - 9 = 32 years taught
Adrienne = 32 - 9 = 23 years taught
41 + 32 + 23 = 96 years taught
This is an exact match for what the prompt told us, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
