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On the number line shown, the distances between \(0\) and \(a,\) \(a\) and \(b,\) and \(a\) and \(c\) are in the ratio

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On the number line shown, the distances between \(0\) and \(a,\) \(a\) and \(b,\) and \(a\) and \(c\) are in the ratio of \(1:2:3.\) If the distance of point \(b\) from \(15\) is twice the distance of point a from \(15,\) what is the value of \(|c|?\)

A. 9
B. 27
C. 36
D. 45
E. 54

Answer: C

Source: e-GMAT
Source: — Problem Solving |