Question

the age of arjun is twice the sum of his two children after 20 years his age ell be equal to the sum of the ages of his children find the age of the fatherthe age of the age of Arjun is twice the sum of age of his two children after 20 years his age will be equal to the sum of age of his children find the age of the father

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The age of the father is 40 yrs

Step-by-step explanation:

Given that the age of Arjun is twice the sum of age of his two children after 20 years his age will be equal to the sum of age of his children.

We have to find the age of father, Arjun.

Let the age of father is x yrs

The age of children are y and z

According to first statement the age of Arjun is twice the sum of age of his two children.

⇒ x=2(y+z)   →  (1)

After 20 years, the ages of father and his two children will be

Father age is (x+20) yrs

Children age are (y+20) and (x+20) yrs

Now, given that after 20 years Arjun age will be equal to the sum of age of his children.

⇒ x+20=(y+20)+(z+20)

⇒ x=(y+z)+20  →   (2)

From eq (1),  x=2(y+z)

(2) becomes  2(y+z) = (y+z)+20 ⇒ (y+z)=20

Hence, father age is 2(y+z)=2(20)=40 yrs