Question 2454
 
Let the age of Jane = x;
Let the age of Jim = y;
From the problem, we will frame equations.

    x + y = 40       ....... (1)  The sum of the ages.
 
    x + 10 = 4(y-6) - 1 ....  (2) The age of Jane after 10 years.
 
  So, x + 10 = 4y-24-1  ....  (2) is expanded.
 
   x + 10 = 4y - 25    .....  (3)
 
 i.e x - 4y = -10 -25 =  x - 4y = -35 ....(4)
 
   (1) - (4), we get
 
   5y = 75;  So  y = 75/5 = 5.
 
   By substituting this value in Eq.(1)
 
   x + 5 = 40;  i.e. x = 40 - 5 = 35
 
   x = 35;   y = 5.    Answer.
 
   I would advise you to check my earlier solved linear problems so that you can solve such problems yourself.
 
   gsm.