AbeNeedsAnswers wrote:What number is 108 more than two-thirds of itself?
A. 72
B. 144
C. 162
D. 216
E. 324
We can PLUG IN THE ANSWERS.
When 108 is added to 2/3 of the correct answer choice, the resulting sum will be equal to the answer choice.
B: 144
(2/3)(144) = (2)(48) = 96.
96 + 108 = 204.
Here, the resulting sum is
60 greater than the answer choice.
Eliminate B.
D: 216
(2/3)(216) = (2)(72) = 144.
144 + 108 = 252.
Here, the resulting sum is
36 greater than the answer choice.
Eliminate D.
Notice the PATTERN implied by the portions in blue:
As the answer choice gets BIGGER, the resulting sum draws CLOSER to the answer choice.
Thus, for the resulting sum to be EQUAL to the answer choice, a value greater than D is needed,
The correct answer is
E.
Algebraic solution:
Since adding 108 to 2/3 of the number must yield the number itself, we get:
108 + (2/3)x = x
108 = (1/3)x
324 = x.
The correct answer is
E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
