Alice is twice as old as Brian and Cathy is 6 years younger than Brian. If Alice is "a" years old, how old is Cathy in terms of "a"?
A. a + 6
B. a − 6
C. (a - 12)/2
D. (a + 12)/2
E. 2a − 6
[spoiler]OA=C[/spoiler]
Source: Princeton Review
Alice is twice as old as Brian and Cathy is 6 years
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GIVEN: Alice is a years oldGmat_mission wrote:Alice is twice as old as Brian and Cathy is 6 years younger than Brian. If Alice is "a" years old, how old is Cathy in terms of "a"?
A. a + 6
B. a − 6
C. (a - 12)/2
D. (a + 12)/2
E. 2a − 6
[spoiler]OA=C[/spoiler]
Source: Princeton Review
Alice is twice as old as Brian
This also means Brian is HALF as old as Alice
So, Brian's age = a/2
Cathy is 6 years younger than Brian
So, Cathy's age = (Brian's age) - 6
So, Cathy's age = (a/2) - 6
How old is Cathy in terms of a ?
Cathy's age = (a/2) - 6
= a/2 - 12/2
= (a - 12)/2
Answer: C
Cheers,
Brent