The sum of the ages of A and B is 60 years
and 10 years hence A will be three times as
old as B. Find their present ages

1 thought on “The sum of the ages of A and B is 60 years<br />and 10 years hence A will be three times as<br />old as B. Find their present ages”

1. Answer:

   let the present ages of A and B be x , y respectively .

   x + y = 60. (1)

   according to second condition

   (x+10) = 3(y+10)

   x+10 = 3y + 30

   x – 3y = 20. (2)

   multiplying eq (1) by 3

   3x + 3y = 180. (3)

   adding eq (2) & (3)

   x – 3y = 20

   + 3x + 3y = 180

   4x = 200

   x = 50

   substituting value of x in eq (1)

   x + y = 60

   50 + y = 60

   y =10

   Reply