Question 434074
.
The sum of the present ages of john and his father is 89 years. 
After 11 years the age of father will be twice the age of john at that time, 
find their present ages.
~~~~~~~~~~~~~~~~~



        The solution in the post by @mananth is incorrect.

        His setup and his treatment of equations is erroneous and leads right to abyss.

        I came to make a job accurately and to teach you properly.



john's age =x

father's age = 89-x

..

after 11 years

john's age = x+11

father's age = (89-x)+11 = 100 - x

...

100 - x = 2(x+11)

100 - x = 2x + 22

100 - 22 = 2x + x

78 = 3x 

x = 78/3 = 26.


<U>ANSWER</U>.  John is 26 years old.  The father is 89-26 = 63 years old.


Solved correctly.