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tagged by: BTGmoderatorLU

## Both Betty and Wilma earn annual salaries of more than $5000 ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: GMAT Prep Both Betty and Wilma earn annual salaries of more than$50000. Is Wilma's annual salary greater than Betty's?

1) Betty's annual salary is closer to $50,000 than is Wilma's. 2) Betty's annual salary is closer to$35,000 than it is to Wilma's annual salary.

The OA is D.

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BTGmoderatorLU wrote:
Source: GMAT Prep
Both Betty and Wilma earn annual salaries of more than $50000. Is Wilma's annual salary greater than Betty's? 1) Betty's annual salary is closer to$50,000 than is Wilma's.
2) Betty's annual salary is closer to $35,000 than it is to Wilma's annual salary. All numbers presented below are annual salaries expressed in thousands of dollars. $$B,W\,\, > \,\,50\,\,\left( * \right)$$ $$W\,\,\mathop > \limits^? \,\,B$$ $$\left( 1 \right)\,\,{\rm{and}}\,\,\left( * \right)\,\,\,B - 50 < W - 50\,\,\,\, \Rightarrow \,\,\,\,B < W\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\langle {{\rm{YES}}} \right\rangle$$ $$\left( 2 \right)\,\,{\rm{and}}\,\,\left( * \right)\,\,\,B - 35 < \left| {B - W} \right|$$ $$W \le B\,\,\,\, \Rightarrow \,\,\,\,B - 35 < \left| {B - W} \right| = B - W\,\,\,\, \Rightarrow \,\,\,\,35 > W\,\,\,\,{\rm{impossible}}$$ $$W \le B\,\,\,{\rm{impossible}}\,\,\,\, \Rightarrow \,\,\,\,\left\langle {{\rm{YES}}} \right\rangle$$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15103 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorLU wrote: Source: GMAT Prep Both Betty and Wilma earn annual salaries of more than$50000. Is Wilma's annual salary greater than Betty's?

1) Betty's annual salary is closer to $50,000 than is Wilma's. 2) Betty's annual salary is closer to$35,000 than it is to Wilma's annual salary.
Statement 1: Betty's annual salary is closer to $50000 than Wilma's is. On a number line: -----50,000---B---W Thus, W > B. SUFFICIENT. Statement 2: Betty's annual salary is closer to$35000 than it is to Wilma's annual salary.
Case 1: -----35,000-----50,000---B---W
Case 2: -----35,000-----50,000---W---B

In Case 2, B is closer to W than to 35,000.
Thus, Case 2 is not viable.
Since only Case 1 is viable, W > B.
SUFFICIENT.

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