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The number line shown contains three points R, S, and T,

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by BTGmoderatorDC » Mon Jun 03, 2019 8:19 pm

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The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ?

A. s
B. s + t - r
C. (r - s - t)/3
D. (r + s + t)/3
E. (s + t - r)/3

OA E

Source: Official Guide
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Source: — Problem Solving |

by Jay@ManhattanReview » Mon Jun 03, 2019 9:22 pm
BTGmoderatorDC wrote:
The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ?

A. s
B. s + t - r
C. (r - s - t)/3
D. (r + s + t)/3
E. (s + t - r)/3

OA E

Source: Official Guide
Pl. add the image. It is missing.
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by GMATGuruNY » Tue Jun 04, 2019 1:25 am
BTGmoderatorDC wrote:Image

The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ?

A. s
B. s + t - r
C. (r - s - t)/3
D. (r + s + t)/3
E. (s + t - r)/3
Let R=-3, S=3 and T=6, implying that r=|-3|=3, s=|3|=3, and t=|6|=6.
Average of R, S, and T = (-3+3+6)/3 = 2.
The correct answer must yield 2 when r=3, s=3 and t=6.
Only E works:
(s + t - r)/3 = (3+6-3)/3 = 6/3 = 2

The correct answer is E.
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by Scott@TargetTestPrep » Tue Jun 11, 2019 7:18 pm
BTGmoderatorDC wrote:Image

The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ?

A. s
B. s + t - r
C. (r - s - t)/3
D. (r + s + t)/3
E. (s + t - r)/3

OA E

Source: Official Guide
We can let R, S, and T be the actual values. Thus, we want to determine the value of (R + S + T)/3. Since S and T are positive, S = s and T = t. However, since R is negative, R = -r. Thus, the average becomes:

(-r + s + t)/3

(s + t - r)/3

Answer: E

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