Perpetuity Immediate Present Value Question 
A perpetuity-immediate pays $X per year.  Brian receives the first n payments, Colleen receives the next n payments, and Jeff receives the remaining payments.  Brian's share of the present value of the original perpetuity is 40%, and Jeff's share is K.  Calculate K.

The perpetuity immediate present value is:  
$a_{\infty\neg i}=\cfrac{X}{i}\tag{1}$
$\text{Brian's share}=0.4\cfrac{X}{i}\tag{2}$
I don't know where to go from here.  Can anyone please help or explain?  Thank you.

Hint 1: You are correct about Brian's share, but there is another expression that can give the value of Brian's payments, which is the present value of an $n$ year annuity immediate that pays $X$ per year.  Set this equal to the $0.4X/i$.  You will need this equation after Hint 2.
Hint 2: Jeff gets every payment after the first $2n$ payments.  So, he gets a perpetuity that starts $2n$ years later, with payments of $X$.  The present value of this is then
$$\frac{X}{i} v^{2n}.$$  You need to figure out this as a percent of $\frac{X}{i}$, so in other words you need to know the value of $v^{2n}$.  Use your equation from Hint 1.
