Question

the present age of the father is four times that of his son . 20 years hence the age of father will be twice the age of the son . find their present ages with explanation

id handel by preet
Main user Margayi
rip-jenal⚰​

Answer 1

Given :-

• Present age of father is four times his son.

• After 20 years age of father will be twice the age of son.

To Find :-

• Present age of father and son

Solution :-

Let the present age of son be x

Present age of father = 4x

Age after 20 years :-

→ Son's age = x + 20

→ Father's age = 4x + 20

According to the question :-

→ 2( x + 20 ) = 4x + 20

→ 2x + 40 = 4x + 20

→ 4x - 2x = 40 - 20

→ 2x = 20

→ x = 20 / 2

→ x = 10

Age of son = 10 years

Age of father = 40 years