Dear All

In the following set of equations, two-equations one-complex variable :

abs(z+16) + abs(z) = 20

abs(z+8) = 7

Where abs stands for absolute value . The variable z is from the complex z-plane . How many solutions does this set of equations have ?

The answers are as :

1- Four distinct solutions

2- Three distinct solutions

3- Two distinct solutions

4- On solution

Which one is correct in your opinion ?

Thank you