Question

in the figure below, q lies between p and r. find the location of q so that the ratio of pq to qr is 2 to 7. p 16? q r 34 location of q :

Explanation:

Step1: Calculate the distance between P and R

$PR=34 - 16=18$

Step2: Divide the distance according to the ratio

The ratio of $PQ$ to $QR$ is $2:7$, so the total number of parts is $2 + 7=9$. Each part has a length of $\frac{18}{9}=2$.

Step3: Find the distance of PQ

The length of $PQ$ is $2\times2 = 4$.

Step4: Calculate the location of Q

The location of $Q$ is $16+4 = 20$.

Answer:

$20$