The age of a father is the square of the age of his son in a riddle from a Chennai newspaper. Five years from now, the father will be three times as old as the son. If the son's present age is x, the situation reduces to x^2 - 3x - 10 = 0. Find the son's age.

Question

Accepted Answer

5. x^2 - 3x - 10 = (x - 5)(x + 2) = 0 gives x = 5 or x = -2. Age must be positive, so the son is 5 years old.

The age of a father is the square of the age of his son in a riddle from a Chennai newspaper.
Five years from now, the father will be three times as old as the son.
If the son's present age is $x$ , the situation reduces to $x^{2} - 3 x - 10 = 0$ . Find the son's age.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Standard Form and Roots practice

The age of a father is the square of the age of his son in a riddle from a Chennai newspaper.Five years from now, the father will be three times as old as the son.If the son's present age is x, the situation reduces to x2−3x−10=0. Find the son's age.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Standard Form and Roots practice

The age of a father is the square of the age of his son in a riddle from a Chennai newspaper.
Five years from now, the father will be three times as old as the son.
If the son's present age is $x$ , the situation reduces to $x^{2} - 3 x - 10 = 0$ . Find the son's age.