Problem Solving (PS) | Re: The distance between Town X and Town Y is twice the distance between T

Let us represent the respective distances using the names of the towns.

Let distance between town X and town Y = XY; distance between town X and town Z = XZ, distance between town Z and town W = WZ.

Let us now connect these unknowns using equations.

XY = 2 XZ, which can be equation 1.

WZ =\(\frac{2}{3}\) XZ, which can be equation 2.

The question says that WZ = 18. Substituting this in equation 2,

18 =\(\frac{2}{3}\) XZ which yields us XZ = 27. Substituting this in equation 1, we have,

XY = 2*27 = 54.

Therefore,
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