Question

the points v, w, x and y all lie on the same line segment, in that order, such that the ratio of vw : wx : xy is equal to 2 : 1 : 3. if vy = 36, find xy.

Explanation:

Step1: Find the total number of parts

The ratio of $VW:WX:XY$ is $2:1:3$. The total number of parts is $2 + 1+3=6$.

Step2: Find the value of one - part

Since $VY$ is the whole line - segment and $VY = 36$, and there are 6 parts in total, the value of one part is $\frac{36}{6}=6$.

Step3: Find the length of $XY$

The segment $XY$ corresponds to 3 parts. So, $XY=3\times6 = 18$.

Answer:

$18$