Question

The sum of the ages of a son and father is 56 years. after 4 years, the age of the father will be 3 times that of the son. what is the age of son? 12 yrs 16 yrs 22 yrs 28 yrs

Answer 1

Let the father's age be x
and Son's age be y

• Sum of their ages are 56

x + y = 56 .... ( i )

• After Four years

Father's age :- x + 4
Son's age :- y + 4

• Now the age of father is 3 times that of son age.

x + 4 = 3 ( y + 4 )

x + 4 = 3y + 12

x - 3y = 12 - 4

x = 8 + 3y .. ... ( ii )


Putting value of x from ( ii ) in ( i )

x + y = 56

8 + 3y + y = 56

4y = 56 - 8

4y = 48

y = 12


So,

The age of son is 12 years.

Answer 2

Answer:

Let the age of son be x years.

Then, the age of father will be (56 - x) years.

According to Question now,

➳ 3(x + 4) = 56 - x + 4

➳ 3x + 12 = 60 - x

➳ 3x + x = 60 - 12

➳ 4x = 48

➳ x = 12 years

Therefore,

• Present Age of son = x = 12 years