The sum of present ages of a father and his son is 8 years more than the present age of the mother. The mother is 22 years older than the son. What will be the age of the father after 4 years?

Let present age of father , mother and son be x, y and z respectively Sum of present ages of father and son = (Mothers present age + 8 years) x + z = y + 8 years.................(i) Mothers present age = Sons present age + 22 years) ⇒ y = z + 22 years..............(ii) Put the value of y in equation (i) we get x + z = z + 22 + 8 x + z = z + 30 x = 30 years ∴ Fathers present age = 30 years Age of father after four years = 30 + 4 = 34 years ∴ Required age of father = 34 years