Question 350793
Let present age of Jun and Joan are x and y respectively.
 their ages six years ago: (x-6) and (y-6)
    after four years    : (x+4) and (y+4)

according to question 
                      (x-6) =  4(y-6)   ......(1)
             and       (x+4) = 2(y+4)        ...(2) 

using (1) we got, x-4y = -18 
  and using (2) we got  x- 2y = 4
   
after solving these two equations...
             y = 22/2 = 11
     
         x = 4 + 2*11 = 26 


so, Jun age is 26 years, Joan age is 11 years.