Question

a man has 2 sons presently man's age is thrice the sum of age of his sons. five years hence the father's age will be twice the sum of the ages of his son. what is the age of father?​

Answer 1

• The age of father is 45 years.

Given :–

• A man's age is thrice the sun of age of his two sons.
• After five years, the father's age will be twice the sun of the ages of his son.

To Find :–

• Present age of father.

Solution :–

Let,

• The sum of ages of two sons be x.

• Age of father be 3x because his age is thrice the sum of age of his sons.

After five years,

• The age of father be (3x + 5)

• The sum of age of his sons be (x + 2 × 5) = (x + 10)

According to the given condition,

After five years, the age of father will be twice of the sum no the ages of his sons.

➫ (3x + 5) = 2(x + 10)

➫ 3x + 5 = 2x + 20

➫ 3x – 2x = 20 – 5

➫ 1x = 15

➫ x = 15

So,

• Age of father = 3x = 3 × 15 = 45 years.

Hence,

The present age of father is 45 years.