Question

in the figure below, x lies between w and y. find the location of x so that the ratio of wx to xy is 2 to 1. w 14 x? y 38 location of x :

Explanation:

Step1: Calculate the total number of parts

The ratio of $WX$ to $XY$ is $2$ to $1$, so the total number of parts is $2 + 1=3$.

Step2: Calculate the distance between $W$ and $Y$

The distance between $W$ (at $14$) and $Y$ (at $38$) is $38 - 14=24$.

Step3: Calculate the length of one - part

The length of one part is $\frac{24}{3}=8$.

Step4: Calculate the location of $X$

Since $WX$ is $2$ parts, the distance from $W$ to $X$ is $2\times8 = 16$. The location of $X$ is $14+16 = 30$.

Answer:

$30$