M is the midpoint of the line joining P and Q.
R lies on PQ produced, such that PR = 3PQ .
Find PM : PR .

Question

M is the midpoint of the line joining P and Q.
 R lies on PQ produced, such that PR = 3PQ .
Find PM : PR .

shayaan_mustafa · Answer

write PR=3PQ
as ratio i.e.
PR:PQ=3:1

got it?

anonymous · Answer

The answer is 1:6

anonymous · Answer

I need an explanation on how to solve it...

shayaan_mustafa · Answer

have you drawn the pic?

anonymous · Answer

Okay no. Sorry, I'm new here. I've been trying to do it mentally. I saw this question here and there was also an answer, but I don't understand the solution. Should I post the solution given previously?

anonymous · Answer

I hit 'ask for an explanation'

shayaan_mustafa · Answer

yes. give the link.

anonymous · Answer

Ok stand by

anonymous · Answer

http://openstudy.com/study#/updates/4ee45f42e4b0a50f5c56c1c9

anonymous · Answer

Not sure if abandoned...

anonymous · Answer

Ah. there you are.

anonymous · Answer

Okay then. So what does "R lies on PQ produced" imply?

shayaan_mustafa · Answer

look you need to find the solution of this question.? right.?

anonymous · Answer

More like...I need to know how to form a solution.

anonymous · Answer

Because the solution is this:
let PM=a, then MQ=a.Let QR=b then PR=2a+b, 3Q=6a, so b=4a. Now PM:PR=a:2a+b=a:6a=1:6

anonymous · Answer

I just can't quite grasp how to come to that conclusion. Am I being stupid?

anonymous · Answer

Whoops, never mind. I got it. Thanks for trying to help.

shayaan_mustafa · Answer

are you sure?