Let’s assume the present ages of the father as x years and that of his son’s age as y years.
From the question it’s given that,
The present age of father is three years more than three times the age of the son.
So, the equation formed is
x = 3y + 3
x – 3y - 3 = 0 …….. (i)
Also again from the question it’s given as,
After 3 years, father’s age will be (x + 3) years and son’s age will be (y + 3) years.
Furthermore, the relation between their ages after 3 years is given below
x + 3 = 2(y + 3) + 10
x – 2y – 13 = 0 …….. (ii)
Thus, by solving (i) and (ii), we get the required solution
Using cross-multiplication, we have
⇒x = 33, y = 10
Hence, The present age of father = 33 years and the present age of his son = 10 years.
