Question

in the figure below, b lies between a and c. find the location of b so that the ratio of ab to bc is 2 to 7. image of number line with a at 16, b at ?, c at 34 location of b : box

Explanation:

Step1: Find the length of AC

The location of A is 16 and C is 34, so the length of AC is $34 - 16 = 18$.

Step2: Determine the length of AB

The ratio of AB to BC is 2:7, so the total number of parts is $2 + 7 = 9$. Each part is $\frac{18}{9}=2$. Then AB is $2\times2 = 4$.

Step3: Find the location of B

Since A is at 16, the location of B is $16 + 4 = 20$.

Answer:

20