HG10 wrote:If n and as are two numbers on a number line, what is the value of s?
1. The distance between s and 0 is one half the distance between n and 0.
2. -4 is halfway between n and s.
OA: E
Statement 1: |s| = (1/2)*|n|
|n| = 2|s|.
No way to determine the value of s.
INSUFFICIENT.
Statement 2: -4 is halfway between n and s
(n+s)/2 = -4
n+s = -8.
No way to determine the value of s.
INSUFFICIENT.
Statements 1 and 2 combined:
Substituting n=-s-8 into |n| = 2|s|, we get:
|-s-8| = 2|s|.
Case 1: -s-8 = 2s
-8 = 3s
s = -8/3
Case 2: s+8 = 2s
s=8.
Since it's possible that s = -8/3 or that s=8, INSUFFICIENT.
The correct answer is
E.
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