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# Collinear Lengths

Pro Problems > Math > Geometry > Segments

## Collinear Lengths

A, B, C, D, and E are, in order, collinear points. The following lengths are known, in terms of x and y:

AB = x - y
AD = x + 2y - 1
BD = AB + 1
DE = 4y - 4
AE = 2x + y

Find the numerical value of the length of AB.

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Problem by MrMath

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