Hello aspirant,
Let the son's present age be x. Then the father's age is x+30.
After 5 years :
Son = x+5, Father = (x+35)
Their product is 400:
(x+5)(x+35) = 400
x^2 + 40x +175 =400
x^2+40x-225 = 0
Solving gives x=5.
So the son is 5 years old and the father is 35 years old.
FOR REFERENCE : https://school.careers360.com/articles/math-question-solver
Hope the details will help you.
THANK YOU
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile