Question

a man's age is 7 times that of his son in five years he will be four times as old as his son what are the present age of the man and the sun

Answer 1

Let the present age of Son be x years

So, the present age of Man be 7x years

In 5-years -

Son's age = (x + 5) years

Father's age = (7x + 5) years

According to Question,

(7x + 5) = 4(x + 5)

=> 7x + 5 = 4x + 20

=> 7x - 4x = 20 - 5

=> 3x = 15

=> x = 15 / 3

=> x = 5

Required Ages -

Son's age = x = 5 years

Man's age = 7x = 7(5) = 35 years

Hence, the present age of Son is 5 years and the present age of Man is 35 years

Answer 2

Let,

present age of son be x

so, present age of father will be 7x

After 5 yrs,

age of son = (x+5) yrs

age of father = (7x+5) yrs

by given condition,

7x+5 = 4(x+5)

7x - 4x = 20 - 5

3x = 15

x = 5

present age of son = 5 yrs

present age of father = 35 yrs