AbeNeedsAnswers wrote:If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =
(A) 1
(B) 4/3
(C) 17/5
(D) 18/5
(E) 4
B
This is indeed an easy question. The great thing about this question is how quickly you do it. It should be done in 30-45 seconds.
If one finds the values of x and y, and then compute the value of (x+y)/3, he/she is bound to take 60-120 second, which is not the purpose of this question.
In the GMAT questions, you need not jump to start solving questions; the GMAT does not simply tests your math skills, it tests your quantitative aptitude.
Once we look at 2x + y = 7; x + 2y = 5, and (x + y)/3, we see that the expression (x + y)/3 can be written as (3x + 3y)/9.
The value of (3x+3y) can be achieved by adding the two equations, thus there is no need to compute the values of x and y.
Hope this helps.
-Jay
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