Question

The sum of ages of father and son is 54years two years ago the product of their ages was 400 find their present ages

Answer 1

Let the father's age is x.

Son's would be 54-x.

Two years ago, there ages are:

x-2 and (54-x)-2

product of their ages

(x-2)(52-x)=400

-x^2+54x-104=400

x^2 -54x+504=0

x= 42

x = 12

son's age is 12 years

and father's age is 42 years