Two years ago, Jacob's age was three times the square of John's age. In three years time, John's age will be one-fourth of Jacob's age. Find their present ages.

Dear Student,

 

Assume the Jacobs and Johns age to be x and y respectively.

According to the first condition,

(x-2) = 3(y-2)² .....(1)

 

According to the second condition,

(y+3) = (x+3) ....(2)

Now from second equation find the value of any one veriable in terms of other and substitute in equation one to get the required quadratic equation.

 

Warm regards,

Topper Learning Team