Question

In the figure below, N lies between M and P.

Find the location of N so that the ratio of MN to NP is 4 to 5 .

Answer 1

`(MN)/(NP) = (4)/(5) \\`

`MP = 26 - 8`

`MP = 18`

`MP / (4 + 5) = 18 / (4 + 5)`

`(MP)/(9) = (18)/(9) \\`

`(MP)/(9) = 2 \\`

Thus;

`MN = 2 * 4`

`MN = 8`

and

`NP = 2 * 5`

`NP = 10`

So the location of N is :

`N = 8 + 8 \: \: or \: \: N = 26 - 10`

`N = 16`