Two years ago, a man's age was three times the square of his son's age. In three years time, his age will be four times his son's age. Find their present ages.

Answer

29 years, 5 years

Explanation

Let son's age 2 years ago be x years.
Then, man's age 2 years ago`=3x^(2)`.
`:." "3x^(2)+5=4(x+5)implies3x^(2)-4x-15=0implies3x^(2)-9x+5x-15=0impliesx=3.`
Son's age `=(x+2)` years = 5 years, man's age `=(3x^(2)+2)` years = 29 years.