Question

the sum of ages of a father and son is 55 years. After 16 years will be twice as old as his son. Find their present ages.

Answer 1

Answer :

• Present Age of Son = 13 years.
• Present Age of Father = 42 years.

Explanation :

Given :

• The sum of ages of a father and son is 55 years.

• After 16 years, he will be twice as old as his son.

To Find :

• Their Present ages.

Solution :

Let,

• Present age of son be x.

So,

• Age of Father = 55 - x.

After 16 years,

• Age of Son = x + 16.
• Age of Father = 2(x).

★ According to the Question,

⇒ 2(x) + x + 16 = 55.

⇒ 2x + x + 16 = 55.

⇒ 3x = 55 - 16.

⇒ 3x = 39.

⇒ x = 39 ÷ 3.

⇒ x = 13.

Therefore,

• Present Age of Son = x = 13 years.
• Present Age of Father = 55 - x = 42 years.