Question

Six years hence a man's age will be three times his son's age, and three years ago he was nine times as old as his son. Find their present ages. ​

Answer 1

Answer:

man's age = 30yrs

son's age = 6yrs

Step-by-step explanation:

Let the age of man be x

and the age of his son be y

According to the question:

After 6 years :

(x+6)=3(y+6)

x+6=3y+18

x-3y=18-6

⇒x−3y=12⟶(i)

Three years ago :

x−3=9(y−3)

⇒x−3=9y−27

⇒x−9y=−24⟶(ii)

Solving (i) and (ii),

6y=36

⇒y=6

Putting value of 'y' in equation (i),

x−3xy=12

∴x=12+18

x=30

∴ Age of man = 30 years.

Age of son = 6 years.