How do you reverse this equation

[antienor]

From the equation below,
how do we get the X,Y,Z if the only numbers given are the L,M,N (0.5839, 0.1682, 0.2477)?
Thank you!

X = 1.57
Y = 5.45
Z = 3.70

T = (1/X+1/Y+1/Z)*100 = 109.0699

A = (1/ (X*T))*100 = 0.5839
B = (1/ (Y*T))*100 = 0.1682
C = (1/ (Z*T))*100 = 0.2477

L = 0.5839
M = 0.1682
N = 0.2477

 

[Mark44]

This seems to be the same question as in your other thread. Please don't start a new thread for the same problem.