Question

1. the points l, m, n and o all lie on the same line segment, in that order, such that the ratio of lm:mn:no is equal to 6:1:2. if lo = 45, find mo.

Explanation:

Step1: Find the total number of parts

The ratio of $LM:MN:NO = 6:1:2$. The total number of parts is $6 + 1+2=9$ parts.

Step2: Find the length of one - part

Since $LO = 45$ and $LO$ is composed of 9 parts, the length of one part is $\frac{45}{9}=5$.

Step3: Find the number of parts for $MO$

$MO$ is composed of $MN + NO$, which is $1 + 2=3$ parts.

Step4: Calculate the length of $MO$

Since one part is 5 and $MO$ has 3 parts, $MO=3\times5 = 15$.

Answer:

15